Questions on Word Problems: Travel and Distance answered by real tutors!

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Question 920380: Two cyclists start 60km apart. If they cycle towards each other, they meet in an hour and if they cycle in the same direction they meet in five hours. Find their average speeds. (Hint: Draw a sketch)

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Question 920377: a ferry boat is traveling at 90 km in 45 minutes. what is the average speed of the boat in km/h?

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Question 920378: Two cyclists start 60km apart. If they cycle towards each other, they meet in an hour and if they cycle in the same direction they meet in five hours. Find their average speeds.
Click here to see answer by mananth(16946) About Me 

Question 920399: a speedy river barge bound for New Orleans leaves Baton Rouge at 9:00 AM and travels at a speed of 10 mph. A rail transport freight train also bound for New Orleans leaves Baton Rouge at 1;30 PM on the same day. The train travels at 25 MPH and the river barge travels at 10 MPH. Both the barge and train will travel 100 miles to reach New Orleans. a) how far will the train travel before catching up to the barge? b) which shipment will reach New Orleans first? What time? c) If both shipments take an hour to unload before heading back to Baton Rouge, what is the earliest time that either one of the companies can begin to load grain to ship to Baton Rouge?
Click here to see answer by Theo(13342) About Me 

Question 920444: Starting from 1.8 miles away, a car drives towards a speed check point and then passes it. The car travels at a constant rate of 45 MPH. The distance the car travels from the check point is given by d=/1.8-45t/. At what times is the car 0.4 miles from the checkpoint?
Click here to see answer by stanbon(75887) About Me 

Question 920472: A sealed bottle is dropped into a river with a 5 MPH current. How long does it take to float 75 miles downstream?
Click here to see answer by ewatrrr(24785) About Me 

Question 920437: A trucker drove an average of 40 mph for the first 4 hours. for the next 6 hours which completed his route, he averaged 55mph, what is the average speed for the whole trip?
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Question 920585: If 5 miles are run in 2/3 of a hour, how long does it take to rum 1 Mike?
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Question 920473: A boat, whose speed in still water is x miles per hour, travels in a 5mph current, 75 miles downstream then 75 miles upstream. This takes 7 hours, 15 minutes. How fast is x?
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Question 920589: You bought $50 worth of stock. It went up 10% in the first month and then down 10% in the second month. How much was your stock worth by the end of the second month?
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Question 920597: Among 800 freshmen at a college, 530 of them own a car. What percent of freshmen at the college have a car?
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Question 920615: An airplane on autopilot took 7 hours to travel 4,907 kilometers. What is the unit rate for kilometers per hour?
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Question 920596: the city airport had a total of 349 departures on Monday, Tuesday, and Wednesday, there were 29 more departures on Tuesday than on Monday, There were 16 fewer departures on Wednesday than Monday. How many departures occurred each day. Applied problem solving in algebra
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Question 920631: If Patrick drove 3 hours to attend a meeting. On the return trip, his speed was 10 miles per hour less and the trip took 4 hours. What was his speed each way? ( Distance = rate • time )
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Question 920768: A car travels from P to Q at a constant speed. If its speed were increased by 10 km/h, it would have been taken one hour lesser to cover the distance. It would have taken further 45 minutes lesser if the speed was further increased by 10 km/h. the distance between the two cities is
please solved this question starting to ending.

Click here to see answer by multiplier(8) About Me 

Question 920756: Please help me solve this question: In 2hours 30 minutes an airplane travels 600 km against the wind. The return trip (with the wind) takes 1 hour 40 minutes. Find the speed of the wind and the speed of the airplane in still air.
I used D=RT plugging in 600 and 150 (2hr30min) and the answers aren't matching up with the answers on the sheet.

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 920818: An ice cream truck vendor sold 8 gallons of ice cream a day during the summer of 2008. In the summer of 2009 he only sold 7 gallons a day. What percent did his sales decrease?
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Question 920808: ryan left the science museum and drove south. Gabriella left three hours later driving 42km/h faster in an effort to catch up to him. 2 hours later, Gabriella finally caught up. Find Ryan's average speed.
Click here to see answer by josmiceli(19441) About Me 

Question 920898: When was the first time a car is driven more than 300 miles per hour?

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Question 920914: how long does it take to get to new york to los angeles by airplane going 450 mph
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Question 920913: One car can travel 35 miles on a gallon of gasoline. The second can only travel 20 miles on a gallon of gasoline. Both cars want to take a trip. One car will follow the other, so each will travel the same distance. How far can the cars travel if they only have $308 to spend on gas, which costs $3.50 per gallon?
Click here to see answer by josgarithmetic(39613) About Me 

Question 921102: The distance you travel is a function of your average speed and the time you travelled at that speed. Two cars left Sequoia two hours apart. The first car travelled at 30 mph and the second car travelled at 40 mph. How long before both cars travelled the same distance>
Thanks,
buntcake49@sbcglobal.net

Click here to see answer by josmiceli(19441) About Me 
Question 921102: The distance you travel is a function of your average speed and the time you travelled at that speed. Two cars left Sequoia two hours apart. The first car travelled at 30 mph and the second car travelled at 40 mph. How long before both cars travelled the same distance>
Thanks,
buntcake49@sbcglobal.net

Click here to see answer by stanbon(75887) About Me 

Question 921114: You and your friend are in a canoe race. Your friend is a half mile in front of you and paddling 3 miles per hour. You are paddling 3.4 miles per hour. You are 8.5 miles from the finish line. How long will it take to catch up to your friend?
Click here to see answer by josmiceli(19441) About Me 

Question 921121: If a driver sets the car cruise control at 60 miles per hour, then how far would it travel in 3 hours? In 5 min? In 1.5 hours?
Click here to see answer by Alan3354(69443) About Me 

Question 921098: A helicopter traveling at an average speed of 225 km/h left San Jose 1 hour after a train that had departed at 7:00 AM. If the helicopter over took the train in 0.8 hours find the average speed of the train.
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Question 921062: Patrick drove at a constant speed and traveled 576 miles in 8 hours.

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Question 921118: a train leaves a station and travels east at 40km/h three hours later a second train leaves on a parallel track traveling east at 60km/h how far away from the station do the trains meet?
Click here to see answer by stanbon(75887) About Me 
Question 921118: a train leaves a station and travels east at 40km/h three hours later a second train leaves on a parallel track traveling east at 60km/h how far away from the station do the trains meet?
Click here to see answer by mananth(16946) About Me 

Question 921146: a train moving at a constant speed travels at 16.5 kilometers in 5 minutes what is the distance in 1 (sec)

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Question 921162: A boat can cruise at 25 mph in still water
What is its cruising speed upstream against a current of 7 mph?
What is its cruising speed downstream with a current of 7 mph?

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Question 921159: joel and tom were travelling from town X to town Y which was 210 km apart. Joel set off 1 hr 15 min later than tom but arrived 15 min earlier. If the average speed of tom was 42km/h, find the average speed of joel.

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Question 920552: an airplane flew for 90min at an average speed of 475mi/h. How far did it fly?
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Question 921019: At time t=0, in seconds, a pair of sunglasses is dropped from the Eiffel Tower in Paris. At time t, its height in feet above the ground is given by h(t)=−16t^2+750. Okay this is a two part problem. the first.
What does the function tell us about the height from which the sunglasses were dropped? Include units in your answer.
If you can answer this one for me because I'm completely stumped then I can get the second part all on my own. I greatly appreciate any help.

Click here to see answer by ewatrrr(24785) About Me 

Question 921054: A soccer ball is kicked upwards at a starting height of 3 feet with an initial velocity of 20 ft/sec. The soccer ball makes contact with the ground on its way down. What formula will you use to solve this vertical motion problem?
Click here to see answer by ewatrrr(24785) About Me 

Question 921200: In still water, a boat averages 5 miles per hour. It takes the same amount of time to travel 14 miles downstream, with the current, as 6 miles upstream, against the current. What is the rate of the water's current?
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Question 921194: a train is traveling a 40mph for 4 hours and then it increases to 65mph for 3 more hours. how far does the train travel in 7 hours?
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Question 921188: Two trains leave stations
448
miles apart at the same time and travel toward each other. One train travels at
70
miles per hour while the other travels at
90
miles per hour. How long will it take for the two trains to meet?
Do not do any rounding.

Click here to see answer by ewatrrr(24785) About Me 
Question 921188: Two trains leave stations
448
miles apart at the same time and travel toward each other. One train travels at
70
miles per hour while the other travels at
90
miles per hour. How long will it take for the two trains to meet?
Do not do any rounding.

Click here to see answer by josmiceli(19441) About Me 

Question 921359: I really need your help in solving this problem. I appreciate your time and efforts. Have a terrific evening :) Here is the question?
Comparing travel. A plane can fly 300 miles in the same time as it takes a car to go 120 miles. If the car travels 90 mph slower than the plane, find the speed of the plane?

Click here to see answer by josgarithmetic(39613) About Me 
Question 921359: I really need your help in solving this problem. I appreciate your time and efforts. Have a terrific evening :) Here is the question?
Comparing travel. A plane can fly 300 miles in the same time as it takes a car to go 120 miles. If the car travels 90 mph slower than the plane, find the speed of the plane?

Click here to see answer by MathTherapy(10549) About Me 

Question 921379: A jogger starts from one end of a 18-mile nature trail at 8:00 A.M. One hour later, a cyclist starts from the other end of the trail and rides toward the jogger. If the rate of the jogger is 6 mph and the rate of the cyclist is 10 mph, at what time will the two meet?

Click here to see answer by josgarithmetic(39613) About Me 

Question 921415: a car travels from a to b in 45 mins with speed of 40 km/hr .if the speed is increased by 10km/hr what will be the time to cover the same distance

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Question 921335: A car travels from A to B, in 45 minutes with speed of 40km/hr. If the speed is increased by 10km/hr what will be the time to cover the same distance.*
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Question 921523: two boats left an island at the same time to return to their home port. Their average speeds differed by 4 km/h. The faster boat reached port after 3 hours. The slower boat took 30 minutes longer. Find the average speed of the each boat.
(this is a rate*time=distance problem)

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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045, 36046..36090, 36091..36135, 36136..36180, 36181..36225, 36226..36270, 36271..36315, 36316..36360, 36361..36405, 36406..36450, 36451..36495, 36496..36540, 36541..36585, 36586..36630, 36631..36675, 36676..36720, 36721..36765, 36766..36810, 36811..36855, 36856..36900, 36901..36945, 36946..36990, 36991..37035, 37036..37080, 37081..37125, 37126..37170, 37171..37215, 37216..37260, 37261..37305, 37306..37350, 37351..37395, 37396..37440, 37441..37485, 37486..37530, 37531..37575, 37576..37620