Tutors Answer Your Questions about Travel Word Problems (FREE)
Question 1040220: Jerry drove to the airport at an average speed of 45 miles per hour. He returned home along the same route, but traffic slowed his average speed on the return trip to 30 miles per hour. If the total travel time was 2 hours 30 minutes, find in miles the distance from Jerry's house to the airport.
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 1040300: good day. please help me solve this problem :)
a road is seventy kilometers long. a gasoline service station is located at each of five kilometers post markers, namely 0, 10, 20, 50 and 70. at which mile marker ( or fractional position between two mile markers) should a water station be built is the owner wishes to minimize the total distance to be traveled per week if deliveries are made at each water station once per week? in other words, mile post 0 receives deliveries on mondays only, ,milepost 10 receives deliveries on tuesdays only, etc.
please help me with this problem this is my email. stifmichphi02@gmail.com
Click here to see answer by ikleyn(52754)  |
Question 1040300: good day. please help me solve this problem :)
a road is seventy kilometers long. a gasoline service station is located at each of five kilometers post markers, namely 0, 10, 20, 50 and 70. at which mile marker ( or fractional position between two mile markers) should a water station be built is the owner wishes to minimize the total distance to be traveled per week if deliveries are made at each water station once per week? in other words, mile post 0 receives deliveries on mondays only, ,milepost 10 receives deliveries on tuesdays only, etc.
please help me with this problem this is my email. stifmichphi02@gmail.com
Click here to see answer by stifmichphi01@gmail.com(1) |
Question 1040310: Olivia traveled 25 miles in 30 minutes, and then she traveled for an additional
20 minutes. If her average speed for the entire trip was 36 miles per hour
(mph), what was her average speed for the final 20 minutes of the trip?
Click here to see answer by stanbon(75887) |
Question 1040319: Amy left work and drove toward the lake. Gabriella left work one hour later, driving 15 mph faster, in an effort to catch up with Amy. After two hours, Gabriella finally caught up with Amy. How fast was each woman driving?
amy=x gab=x+15
amy traveled a total of 3hrs
gab traveled 2hrs
x(3)=(x+15)(2)
3x=2x+30
3x-2x=2x-2x+30
x=30
Check:
30(3)=(30+15)(2)
90=(45)(2)
90=90
x+15
30+15=45
Answer: Amy drove 30 mph and Gab drove 45 mph.
Click here to see answer by Boreal(15235)  |
Question 1040343: Raina drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took
12
hours. When Raina drove home, there was no traffic and the trip only took
8
hours. If her average rate was
20
miles per hour faster on the trip home, how far away does Raina live from the mountains?
Click here to see answer by josgarithmetic(39613) |
Question 1040343: Raina drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took
12
hours. When Raina drove home, there was no traffic and the trip only took
8
hours. If her average rate was
20
miles per hour faster on the trip home, how far away does Raina live from the mountains?
Click here to see answer by MathTherapy(10549)  |
Question 1040331: How would you figure out the banking angle of a road and what would have to be done to a road
if the speed limit were increased and the banking angle was not changed?
Image for reference: https://i.imgsafe.org/ef9b40ded1.png
Click here to see answer by ikleyn(52754)  |
Question 1040412: on a certain river, a paddleboat travels 10 miles upstream(against the current) in the same amount of time it travels 30 miles downstream(with the current). If the current of the river is 5 miles per hour, determine the speed
Click here to see answer by jorel555(1290) |
Question 1040413: on a certain river, a paddleboat travels 10 miles upstream(against the current) in the same amount of time it travels 30 miles downstream(with the current). If the current of the river is 5 miles per hour, determine the speed of the boat in still water.
Click here to see answer by ikleyn(52754)  |
Question 1040437: what needs to be done to a road if the speed limit was increased and the banking angle was left unchanged?
If the speeding limit was increased while the banking angle was not changed, the car would lose friction as it picked up speed, but what would need to be done to the road itself?
Click here to see answer by ikleyn(52754)  |
Question 1040586: On a certain river, a paddleboat travels 4 miles upstream (against the current) in the same amount of time it travels 8 miles downstream (with the current). if the current of the river is 1 mile per hour, determine the speed of the boat in still water.
Click here to see answer by ikleyn(52754)  |
Question 1040604: A marker buoy off the coast of Washington bobs up and down with the waves. The distance between the highest and lowest point is 6 feet. The buoy moves from its highest point to its lowest point and back to its highest point every 8 seconds. Which of the following equations represents the motion of the buoy if it is at equilibrium when t = 0 and it is moving up from the normal water level.
It must be one of these four equations: https://i.imgsafe.org/2ae1de4973.png
Click here to see answer by Boreal(15235)  |
Question 1040714: in the fastest measured tennis serve the ball left the racquet at 73.14 m/s. A served tennis ball is typically in contact with the raquet for 30.0 ms and starts from the rest. Assume constant acceleration. (a.) What was the ball's acceleration during the serve? (b.) How far did the ball travel during the serve?
Click here to see answer by addingup(3677)  |
Question 1040734: An antelope moing with constant acceleration covers the distance between two points 70.0m apart in 7.00 s.Its speed as if passes the second point is 15.0 m/s (a) what is its speed at the first point? (b) what its acceleration ?
Click here to see answer by Fombitz(32388)  |
Question 1040713: The fastest measured pitched baseball left the pitcher's hand at a speed of 45.0 m/s . If the pitcher was in contact with ball over a distance of 1.50 m and produced constant acceleration. (a.) what acceleration did he give the ball, and (b.) how much time did it take him to pitch?
Click here to see answer by Alan3354(69443)  |
Question 1040736: 2.21 A FAST PITCH. The fastest pitched baseball left pitches hand at a speed of 45.0m/s. If the pitcher was in contact with the ball over distance of 1.50m and produce constant acceleration. (a) what acceleration did he gave the ball and (b) How much time did it take to pitch it ?
Click here to see answer by Alan3354(69443)  |
Question 1040794: Two tuna boats start from the same port at the same time, but they head in opposite directions. The faster boat travels 10 knots per hour faster than the slower boat. At the end of 8 hours, they were 272 nautical miles apart. How many nautical miles had each boat traveled by the end of the 8-hour period? Please help and explain
Click here to see answer by solver91311(24713)  |
Question 1040814: A ship made a trip of 231 mi in 14 h. The ship traveled the first 98 mi at a constant rate before increasing its speed by 5 mph. It traveled another 133 mi at the increased speed. Find the rate of the ship for the first 98 mi.
Click here to see answer by ikleyn(52754)  |
Question 1040814: A ship made a trip of 231 mi in 14 h. The ship traveled the first 98 mi at a constant rate before increasing its speed by 5 mph. It traveled another 133 mi at the increased speed. Find the rate of the ship for the first 98 mi.
Click here to see answer by MathTherapy(10549)  |
Question 1040878: A small rock is thrown vertically upward with a speed of 18 m/s from the edge of the roof of a 30.0 m-tall building. The rock doesn't hit the building on its way down and lands in the street below. Air resistance can be neglected. (a.) What is the speed of the rock just before it hits the street? (b.) How much time elapses from when the rock is thrown until it hits the street?
Click here to see answer by addingup(3677)  |
Question 1040878: A small rock is thrown vertically upward with a speed of 18 m/s from the edge of the roof of a 30.0 m-tall building. The rock doesn't hit the building on its way down and lands in the street below. Air resistance can be neglected. (a.) What is the speed of the rock just before it hits the street? (b.) How much time elapses from when the rock is thrown until it hits the street?
Click here to see answer by ikleyn(52754)  |
Question 1040900: Seth and Ethan are running a race. Seth is faster than Ethan, so they decide to let Ethan get a head start. Ethan runs at 10 miles per hour and Seth runs at 15 miles per hour. How many minutes head start did Ethan get if Seth caught up to Ethan after 60 miles?
Click here to see answer by jorel555(1290) |
Question 1040900: Seth and Ethan are running a race. Seth is faster than Ethan, so they decide to let Ethan get a head start. Ethan runs at 10 miles per hour and Seth runs at 15 miles per hour. How many minutes head start did Ethan get if Seth caught up to Ethan after 60 miles?
Click here to see answer by josmiceli(19441)  |
Question 1040972: Two trains depart towards from two stations which distance is 900 km
and meet in the middle of the distance. The departure of the first train is 1 hour
later than the departure of the second train but it’s speed is 5 km/hour greater.
Find the speed of each of trains.
Click here to see answer by Theo(13342)  |
Question 1040995: A bus traveling 50 m/s is increasing its speed at the rate of 4 m/s.
A.find the distance covered in 6 s.
B.if its speed in decreasing at the rate of 4 m/s, find the distance civered in 6 secondss and the time it takes to come at rest
Click here to see answer by Alan3354(69443)  |
Question 1040986: Over a period of 4 consecutive years an employee has received 7.2, 8.6, 6.9, and 9.8% annual pay increases. The ratios, therefore, of each new salary to the previous year's salary are 1.072, 1.086, 1.069, 1.098. Using logarithms, find the geometric mean for these four ratios and then determine the average percent increase for this employee over the 4-year period.
Click here to see answer by Theo(13342)  |
Question 1040971: Two trains depart towards from two stations which distance is 900 km
and meet in the middle of the distance. The departure of the first train is 1 hour
later than the departure of the second train but it’s speed is 5 km/hour greater.
Find the speed of each of trains.
Click here to see answer by jorel555(1290) |
Question 1041043: Two joggers start from opposite ends of an 8 mile course running towards each other. One jogger is running at a rate of 4 mph, and the other is running at a rate of 6 mph where will they cross paths? Write a system of inequalities to represent the situation.
Click here to see answer by stanbon(75887) |
Question 1041043: Two joggers start from opposite ends of an 8 mile course running towards each other. One jogger is running at a rate of 4 mph, and the other is running at a rate of 6 mph where will they cross paths? Write a system of inequalities to represent the situation.
Click here to see answer by MathTherapy(10549)  |
Question 1041198: Jenny walks 5 kilometers from her house to Star SuperMall to buy a new bike which she uses to return home. She averaged 10 kilometers faster on her bike than on foot. If her total trip took 1 hour and 20 minutes, what is her walking speed in kph? Use the formula v = d/t .
Click here to see answer by josgarithmetic(39613) |
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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, 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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
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