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

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Question 317026: At 5pm, Jill leaves New York City and travels toward Boston at an average rate of 56 miles per hour. At 6pm, Billy leaves Boston and travels toward New York, on the same road as Jill, at an average rate of 50 miles per hour. If they were initially 215 miles apart, at what time do Billy an Jill pass each other?

Remarks: I know we are trying to solve for 't' here, but I'm not sure how to setup the problem. Should Jill be setup as (t+1) or Billy should?? Thanks for your help.

Click here to see answer by mananth(16946) About Me 

Question 317067: A car traveling 60mph overtakes a motorcycle traveling 40mph. The motorcycle had a two hour head start. How far from the starting point are the car and motorcycle?
I am having a hard time solving this equation. I know the formula D=R X T, but I'm not sure where to start.

Click here to see answer by Fombitz(32388) About Me 

Question 317230: A ball is thrown across a playing field. Its path is given by the equation y=-0.005x^2+x+5. Where x is the distance the ball has traveled horizontally and y is its height above ground level, both measured in feet.
a. What is the maximum height attained by the ball?
b. How far has it traveled horizontally when it hits the ground?

Click here to see answer by nerdybill(7384) About Me 

Question 317150: When a car traveling on wet pavement at a speed V in miles per hour stops suddenly, it will produce skid marks of length S feet according to the formula
V=2(!3S)
If the length of the skid mark S (for a car that was in an accident)was 243 feet,
A) to find the speed V of a car.
B) If the speed limit on that road was 40 miles, by how many miles did the driver exceed the speed limit?

Click here to see answer by Fombitz(32388) About Me 

Question 317234: A new computer can process a company's monthly payroll in 1 hour less time than the old computer. To really save time, the managert user both computers finished the payroll in 3 hours. How long would it take the new computer to do the payroll by itself?
Click here to see answer by checkley77(12844) About Me 

Question 317219: 2 runners are running a track one runner runs it in 24 min, the other runner in 36 minutes when will they both be at the same spot?
Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 317219: 2 runners are running a track one runner runs it in 24 min, the other runner in 36 minutes when will they both be at the same spot?
Click here to see answer by checkley77(12844) About Me 

Question 317173: The river is flowing from point A to B at a rate of 15 miles per hour. A boat moves on still water at 45 miles per hour. If it takes David 1 hour and 15 minutes to ride the boat on the river from A to B, how long does it take him to make the return trip from B to A?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 317397: Two buses leave towns 594 km apart at the same time and travel toward each other. One bus travels 12 km/h slower than the other. If they meet in 3 hours, what is the rate of each bus?
Click here to see answer by mananth(16946) About Me 

Question 317265: An airplane is flying at a speed of 350 mi/h at an altitude of one mile. The plane passes directly above a radoar station at time t=0
a. Express the distance s (in miles) between the plane and the radar station as a function of the horizontal distance d (in miles) that the plane has flown.
b. Express d as a function of the t (in hours) that the plane has flown.
c. Use composition to express s as a function of t.

Click here to see answer by Fombitz(32388) About Me 

Question 317526: Car A is currently 80 km south of a perpendicular intersection with an east-west road. Car B is on the east-west road, 260 km west of the same intersection. Car A is travelling north at 80 km/h; Car B is travelling east at 100 km/h. Assuming that the cars will continue in a straight line with constant velocities, after 2 hours how fast is the distance between the two cars changing?
Click here to see answer by Fombitz(32388) About Me 

Question 317591: A motorboat travels 360km in 5 hours going upstream and 648km in 6 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?
Click here to see answer by mananth(16946) About Me 

Question 317590: In a family there are two cars. In a given week, the first car gets an average of 15 miles per gallon, and the second car gets 35 miles per gallon. The two cars combined drive a total of 1575 miles in that week, for a total gas consumption of 65 gallons. How many gallons were consumed by each of the two cars that week?
Click here to see answer by mananth(16946) About Me 

Question 317588: The sum of two numbers is 60 . One number is 4 times as large as the other. What are the numbers?
Click here to see answer by rfer(16322) About Me 

Question 317582: If a car travels 60 miles in 45 minutes, how many miles per hour was it going?
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Question 317570: Two trains leave towns 1332 km apart at the same time and travel toward each other. One train travels 20 km/hr slower than the other. If they meet in 6 hours, what is the rate of each train?
Click here to see answer by rfer(16322) About Me 

Question 317587: An airplane travels 2277km against the wind in 3 hours and 2667km with the wind in the same amount of time. What is the rate of the plane in still air and what is the rate of the wind?
Click here to see answer by Fombitz(32388) About Me 

Question 317767: How fast would you be going, if you traveled 917 feet in 20 seconds from a dead stop
Click here to see answer by mananth(16946) About Me 

Question 317793: a motorboat can maintain a constant speed of 16 mile per hour relative to the water. the boat makes a trip upstream to a certain point in 20 minutes; the return trip takes 15 minutes. what is the speed of the current?
Click here to see answer by mananth(16946) About Me 

Question 317803: A car traveled at an averge speed of 50 miles per hour for a trip of 225 miles . how long did the trip take ?

Click here to see answer by rfer(16322) About Me 

Question 317841: how much tme it will take to travel 400 feet distance at road at a speed of 45mph.

Click here to see answer by mananth(16946) About Me 

Question 317855: A student walks and jogs to college each day. she averages 5km/h walking and 9km/h jogging. The distancefrom home to college is 8km and she makes the trip in 1 hour. How far does the student jog?
I can't seem to get it set up right to get the correct calculation. I used 5km(X) +9 km(y) = 8km.





Click here to see answer by mananth(16946) About Me 

Question 317878: I need help finding the equation
The altitude of the peak of Mt. Everest is 29,028 feet. The world’s greatest known ocean depth of -36,201 feet was recorded in the Marianas Trench. How many feet above the bottom of the Marianas Trench is a climber who has reached the top of Mt. Everest?


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

Question 317924: a car driving at 55 miles per hour. The car give you 11 kilometers in in one liter of gas. How much gas we need to cover a trip for three hours

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

Question 317966: James is driving a boat at 20mph. He drove against the current for 2 hours. James drove the with the current for 1 hour. How fast was James traveling in still water?
Click here to see answer by Alan3354(69443) About Me 

Question 318242: a car travels 1 mile in 75 seconds, at this rate how many miles will the car travel in a one hour ?
Click here to see answer by mananth(16946) About Me 

Question 318287: A car traveled for 1/2 hour at "r" mi/h, then increased the speed by 10 mi/h and traveled for 1 1/2 hours more. How far did the car go? (Express answer in terms of "r").
Click here to see answer by solver91311(24713) About Me 

Question 318312: On a road trip they drove 55 miles per hour to California, on the way home they drove 65 miles per hour. How many miles did they drive on the way to California if the round trip took 10 hours?
I know it's D = RxT, so I plug in 55 and 65 as rate and is time 60?...I'm totally lost...

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

Question 318343: The speed of a stream is 4 km/h. A boat travels 6 km upstream in the same time it takes to travel 12 km downstream. What is the speed of the boat in still water?
Click here to see answer by nyc_function(2741) About Me 

Question 318359: A tank can be filled using pipes A, B, or both. It takes pipe A, running alone, 18 hours to fill the tank. It takes both pipes, running together, 9.9 hours to fill the tank. How long does it take pipe B, running alone, to fill the tank?
Click here to see answer by stanbon(75887) About Me 

Question 318285: Two cars leave City A at the same time to travel to City B. One car travels at 72 km/h and other at 78 km/h. If the slower car arrives 20 min. after the faster car, how far apart are City A and City B?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 318574: It takes Rob 3 hours to do a job. It takes Tim 5 hours to do the same job. If Rob and Tim worked together, how long would it take them? Please advise. Thank you.

Click here to see answer by nerdybill(7384) About Me 

Question 318570: david runs 4 miles in 30 minutes. At the same rate, how many would he run in 18 minutes?
Click here to see answer by Fombitz(32388) About Me 

Question 318573: soybean meal is 12% protein cornmeal is 6% protein. how many pounds of each should be mixed together to get 240 lb mixture tht is 8% protein?
pounds of cornmeal in mixture [160 lbs.]
pounds of soybean in mixture [80 lbs.]

Click here to see answer by checkley77(12844) About Me 

Question 318567: soybean meal is 12% protein;cornmeal is 6% protein. how many pounds of each should be mixed together to inorder to get 240 lbs mixture tht is 8% protein.
cormeal 160 pounds in mixture
soybean 80 pounds in mixture

Click here to see answer by checkley77(12844) About Me 

Question 318566: Train A and B are traveling parallel. Train a is traveling 100 miles per hour and tain b is traveling at 125 miles per hour. train a passes the statin at 7:10 pm and train b passes at 7:22 pm. waht time will train b cath up to train a?
Click here to see answer by checkley77(12844) About Me 

Question 318616: how many feet would it take a 70 thousand pound truck traveling at 45 miles an hour to stop?
Click here to see answer by Fombitz(32388) About Me 

Question 318611: If you drove for 200 hours at 65 miles per hour how many miles did you travel?
Click here to see answer by jim_thompson5910(35256) About Me 
Question 318611: If you drove for 200 hours at 65 miles per hour how many miles did you travel?
Click here to see answer by solver91311(24713) About Me 

Question 318629: How many miles do you cover in 15 minutes driving 40 mph?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 318630: How many miles will you cover in 25 minutes driving 45 mph?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 318694: If a car travels 1/100 of a kilometer each second, how many kilometers does it travel per hour?
Click here to see answer by rfer(16322) About Me 
Question 318694: If a car travels 1/100 of a kilometer each second, how many kilometers does it travel per hour?
Click here to see answer by mananth(16946) About Me 

Question 318787: A pontoon boat moves 6 km/h in still water. It travels 30 km upriver and 30 km downriver in total time of 18 hrs. What is the speed of the current?
Click here to see answer by CharlesG2(834) About Me 
Question 318787: A pontoon boat moves 6 km/h in still water. It travels 30 km upriver and 30 km downriver in total time of 18 hrs. What is the speed of the current?
Click here to see answer by Fombitz(32388) About Me 

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