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

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Question 313651: I had this question to answer and I'm not sure if the calcualtions are correct. Can someone give me some direction. Thanks
A ball drops from a certain height rises after bouncing to 40% of its original height. After bouncing if the ball rises to 2 ½ ft. What is the height from which it was dropped?
a = b x r x100
a = 2 ½ x 40% (Change 2 ½ to decimal and 40% to a decimal)
a = 2.5 x .40 x 100
a = 2/5 x .40 = 1 ft.

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Question 313673: An athlete runs 105 miles south and 80miles west. How ,far is he from the starting point.
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Question 313574: two sculptures are similar. The height of one sculpture is four times the height of the other sculpture. The smaller sculpture is 2.5 feet tall. How tall is the larger sculpture?
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Question 313583: . Two trains are 2 kms apart. Speed of one train is 20m/s and the other train is running at 30 m/s .Lengths of the trains are 200 and 300m. In how much time do the trains cross each other?
Ans 50 seconds

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Question 313765: Elena bicycles 7 km/h faster than Praedup. In the same time it takes Praedup to bicycle 30 km, Elena can bicycle 51 km. How fast does each bicyclists travel?
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Question 313761: Mr. Abbot left Farmersville in a plane at noon to travel to Exeter. Mr. Baker left Exeter in his automobile at 2pm to travel to Farmersville. It is 400 mi from Exeter to Farmersville. If the sum of their speeds was 120mph, and if they crossed paths at 4pm, find the speed of each.
x= speed of plane
y= speed if automobile
The system is
x+y=400
4x+4y=120

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Question 313698: Stefan left school and traveled toward his
friend's house. Eugene left two hours later
traveling at 40 km/h in an effort to catch up
to Stefan. After traveling for three hours
Eugene finally caught up. What was
Stefan's average speed?

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Question 313745: If a player runs at a speed of 36.0 km/hr, how many seconds does it take to run from the 50.0 yard line to the 20.0 yard line?
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Question 313827: It took 7 hours and 30 minutes to drive 375 miles. What was the average speed in miles per hour?

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Question 313919: Two bicyclists start at the same time at a given point and travel in the same direction at average speeds of 8 miles per hour and 10 miles per hour. After how long are the bicyclists 5 miles apart?
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Question 314004: Two cars leave philadelphia, one traveling north and the other traveling south. After 3 hours, they are 297 miles apart. If one car is traveling 5 miles per hour faster than the other, what is the speed of each?
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Question 314004: Two cars leave philadelphia, one traveling north and the other traveling south. After 3 hours, they are 297 miles apart. If one car is traveling 5 miles per hour faster than the other, what is the speed of each?
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Question 314012: Could I please have the formula for
If you drove at 48km/h for 1 hour and 26mins how may km have you travelled

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Question 314011: Could I please have the formula to work out the following
How long would it take to drive 57km at 95km/h

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Question 314008: A car travels 70 miles per hour. How far does the car travel in 4 hours and 15 minutes?
2.A car travels 320 miles on 15 gallons of gasoline. The best estimate of the car's miles per gallon is
3.Marla has 80 coins. If 15% of the coins are dimes, how many of the coins are not dimes?
4.Yesterday in Juneau, Alaska it was -20 degrees and in San Diego, California it was 75 degrees. What was the difference in temperature between these two cities?
5.One English pound (money) is worth about $1.75 in U.S. currency. Which is approximately equal to $350 U. S. dollars?

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Question 314022: A train leaves the station traveling at 119 km/hr. Two hours later, a train leaves the station traveling in the opposite direction at 90 km/hr. How long after the second train left the station were they 420 km/hr apart?
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Question 314019: biker A leaves town heading west at 15MPH. Six hours later biker B leaves town at 18MPH. How far from town does biker A get before she is caught by biker B?
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Question 314090: On a recent trip, George traveled 300 miles. The number of miles of highway driving was 4 times the number of miles of city driving. If his car gets 20 miles to the gallon in city driving, and 30 miles to the gallon on the highway, how much gas did he use?
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Question 314086: A plane flies 350 mi with the wind in the same time that it can fly 310 against the wind. The plane's speed is 165 mph in still air. Find the speed of the wind.
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Question 314060: The speed of rain A travels t10 miles slower than train B. Train A traveled 200 miles in the same time it took train B to go 250 miles. find the speed for train A and B. Is the formula for this d=k-r2? Or how would I figure this out.
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Question 314120: A train that travels 100 kilometers in 4 hours is traveling at what average speed?

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Question 314126: A building casts a 200ft long shadow. At the same time, your shadow is 5 feet long. You are 6 feet tall. How tall is the building?
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Question 314171: If I traveled 60 miles in 45 minutes, how fast was I driving?
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Question 314213: how long in minutes would it take a car traveling at 45mph to get to 8 miles
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Question 314227: A ball is thrown at an angle of 25 degrees with an initial velocity of 60 Ft/sec towards a 10 ft high wall that is 50 ft away. does the ball make it over the wall or not?
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Question 314193: Martine leaves home at 9 a.m., bicycling at a rate of 24 mi/hr. Two hours later, John leaves, driving at the rate of 48 mi/hr. At what time will John catch up with Martine?
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Question 314167: Two cars leave town at the same time traveling in opposite directions. One car travels at a rate of 60 miles per hour. The other car travels at a rate of 70 miles per hour. How long will it take them to arrive at a point where they are 650 miles apart?
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Question 314315: Two trains traveled in the opposite directions from the same starting point. The rate of one train was 20 km/h faster than the rate of the other. After 2 hours, they were 360km apart. Find the rate of each train and show your work.
Thanks for you help

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Question 314348: If the car covers 390 miles in 6 hours, how long does it take to cover 520 miles?
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Question 314348: If the car covers 390 miles in 6 hours, how long does it take to cover 520 miles?
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Question 314348: If the car covers 390 miles in 6 hours, how long does it take to cover 520 miles?
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Question 314421: Please help with this question.
A water rocket is launched upward with an initial velocity of 48 ft/sec. It's height h, in ft after t seconds is given by h=48t-16t^2. After how many seconds will the rocket hit the ground? Please show all work necessary to arrive to the solution.

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Question 314426: a marine platoon went on a 20 mile hike that took 6 hours to complete. for the first 12 miles he hiked at a constant spped. FOR THE LAST 8 MILES HE INCREASED HIS SPEED BY 1 MPH, FIND THE SPPED OF THE PLATOON ON THE LAST PART OF HIS HIKE.
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Question 314447: If on a round trip you travel 6km and then arrive back home .what distance have you travelled?

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Question 314457: one lap is 2.5 miles in length. and average speed car goes 190 mph. how long will it take to travel one lap?
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Question 314480: An airplane flying directly north at a constant rate, travels 550km in 3.5 hours. What is the velocity of the airplane?
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Question 314471: An automobile travels from point A to point B at a speed of 40 km/h. How fast must it travel in the opposite direction to achieve an average speed of 50 km/h for the round trip?
(A) 50 km/h (B) 58 km/h (C) 60 km/h (D) 66• km/h (E) Not enough
Information

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Question 314467: A stream flows from A to B, a distance of 30 km in 2 km/hr. and a man can go up and down in 8 hours. what is the rate of man in still water.
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Question 314312: A marine platoon went on a 20 mile hike that took 6 hours to complete. for the first 12 miles the platoon hiked at a constant speed. For the last 8 miles he increased his speed by 1 mph. find the speed for the last part of the hike.
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Question 314519: A jogger jogs around a circular track with a diameter of 300 meters in 13 minutes. What was the joggers average speed in meters/second?
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Question 314528: A group of college students, anxious to get to florida on spring break, drove the 650 mile trip with minimal stops. They computed their average speed for the trip to be 65.5 mi/hr. How many hours did the trip take?
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Question 314528: A group of college students, anxious to get to florida on spring break, drove the 650 mile trip with minimal stops. They computed their average speed for the trip to be 65.5 mi/hr. How many hours did the trip take?
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Question 314531: In the morning, May drove to an appointment at 50 mph. Her average speed on the return trip in the afternoon was 40 mph. The return trip took 1/5 hour longer. How far did she travel to the appointment?
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Question 314514: At a track meet, a runner runs the 100 meter dash in 15 seconds. What was the runner's average speed?
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Question 314570: A car travals a certian distance with a speed 50 klm/h and return with a speed of 40km/h, calculate the average?
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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, 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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