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

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Question 560312: I need help with this word problem. i have to use a formula d=r*t and i also draw a table to find what the equation will look like

Problem:
At 10 a.m. Dana leaves for work riding her motorbike at 30 mph. Her husband Bill, realizes that she left some important papers and so he leaves 20 minutes later to deliver the papers. if he drives the same route at 50 mph, how long will it take him to catch up to her?
my table i set up
d = r * t
Dana d=10(r-30) r-30 10
Bill d=20r r 20

20r=10(r-30)
20r=10r-300
-10r=-10r
10r/10= -300/10
r=-30
is this right and if it is where do i go from here?

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Question 560320: a person drives from town a to town b at the rate of 50 mph and then flies back at the rate of 160mph. if the total traveling time is 21 hours, how far is it from town a to town b?
i have to use the formula d=r*t to set up an equation
my table i set up is
t * s(r) = d
slower speed 50D 50 d
faster speed (160+21) 160+21 d
total 21
can you please help me solve this?

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Question 560195: The local train is 25 miles down the track from central station when the express leaves the station. The local train travels at a rate of 50 mi/hr and the express travels at a rate of 80 mi/hr. Let N represent the number of hours since the express train left Central Station.
Question 1.) Write at expression that represents the express train's distance from Central Station in N hours.
Question 2.) When will the express train catch up with the local train?

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Question 560431: a plane leaves chicago and flies 750 miles to new york. if it takes 2.5 hours to get to new york against the wind, but only 2 hours to fly back to chicago, what is the plane's rate of speed and what is the wind speed?
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Question 560448: It takes Ally four hours to drive to her family's lake house that is 280 miles north of her home. If the speed limit is 65 miles/hour did she speed?
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Question 560462: If the speed of a car is 45 km/h, how far will it travel in 45 minutes?
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Question 560455: It took your champion snail 25 minutes to complete a 400 centimeter race. What was this record speed?
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Question 560472: A BIKE IS TRAVELING AT A CONSTANT SPEED OF 20 MPH. A CAR IS TRAVELING AT A CONSTANT SPEED OF 30 MPH. IF THE BIKE WAS GIVEN A 1 HOUR HEAD START, HOW LONG WOULD IT BE BEFORE THE CAR OVERTAKES THE BIKE?
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Question 560485: Jane is on a trail that ends at the river. If Jane's horse averages 7 1/2 miles
per hour,how many hours will it take her to ride to the river? plz show me how to get the answer to this question.. thanks..

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Question 560501: If a truck leaves from the west coast and a truck leaves from the east coast, where will the trucks meet in the country if they are traveling at the same speed?
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Question 560495: You drive on Interstate 10 from Lafayette to Houston, half the time at 56 km/h and the other half at 70 km/h. On the way back you travel half the distance at 56 km/h and the other half at 70 km/h.
(a) What is your average speed from Lafayette to Houston?
km/h
(b) What is your average speed from Houston back to Lafayette?
km/h
(c) What is your average speed for the entire trip?
km/h
(d) What is your average velocity for the entire trip?
km/h

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Question 560442: A cyclist leaves Las Vegas riding at the rate of 18 mph. One hour later, a car leaves Las Vegas going 45 mph in the same direction. How long will it take the car to overtake the cyclist?

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Question 560493: Graph the liLinda invested her savings in two investment funds. The amount she invested in Fund A was 3 times as much as the amount she invested in Fund B. Fund A returned a 7 % profit and Fund B returned a 2 % profit. How much did she invest in Fund B, if the total profit from the two funds together was $2760 ?
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Question 560604: 2 cars are travelling on saparate lanes on a 2 lane freeway.how long does it take car 2 travelling at 100km heitz per second to overtake car 1 travelling at 80km heitz per second if the distance between them is 150m
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Question 560635: A jogger jogs around a circular track with a diameter of 300 meters in 13 minutes. What was the jogger’s average speed in meters/second?
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Question 560643: A boat with a speed of 7km/hr.How long will it take to go 35km?
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Question 560661: I traveled 3 miles in 25 minutes, how fast was I going?
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Question 560697: Five friends drove at an average rate of 50 miles per hour to a weekend retreat. On the way home they took the same route but averaged 70 miles per hour. What was the distance between home and the retreat if the round trip took 10 hours?
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Question 560698: A hiker walks 2 miles in 45 minutes whats the average speed?

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Question 560717: If I drove for 2 hours and 30 mins how much gas would that take?
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Question 560911: If you walked 440 yards in 5 minutes what is the speed in mph? How should I go about solving this question. Thank you for your help.

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Question 560968: During the first part of a trip a canoeist travels 41 miles at a certain speed. the canoeist travels 8 miles on the second part of the trip at 5 mph slower. the total time for the trip is 3 hours. what was the speed on each part of the trip?
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Question 561044: `During the first part of a trip a canoeist travels 56 miles at a certain speed. the canoeist travels 9 miles on the second part of the trip at 5 mph slower. the total time for the trip is 5 hours. what was the speed on each part of the trip?''.

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Question 561284: How far can a person drive out into the country at the average of 40 mph and returen over the same road at the average of 30 mph if the total travel time (out and back) is 7 hours?
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Question 561328: if you ride a bike at 3 mph for 4 hours, how far will you travel?
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Question 561492: A mother wants to invest $9000 for her children's education. She invests a portion of the money in a bank certificate of deposit(CD account)which earns 4% and the remainder in a savings bond that earns 7%. If the total interest after one year is $540, how much money was in each rate?
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Question 561463: Malik drove his car for 45 miles at an average speed of r miles per hour. On the return trip, traffic has increased and Maliks average speed is 3/4 r. The round trip took a total of 1 Hour and 45 minutes. Find the average speed for each portion of the trip.
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Question 561639: An airplane flies 440 miles with the wind and 340 against the wind in the same length of time. If the speed of the wind is 20, what is the speed of the airplane in still air?
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Question 561637: Please work it out.
a car travels 108 miles on 9 liters of gas. How many miles will it travel on 21 liters?

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Question 561662: A jet airplne leaves an airport traveling at a steady rate of 600km/h. Another jet leaves the same airport 3/4 h later traveling 800km/h in the same direction. How long will the second jet take to overtake the first?
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Question 561682: This is a real world math problem:
Is it possible to accelerate from 45 mph to 71 mph in 20 seconds and then safely return to 50 mph in .8 miles? The car is a 2011 Kia Forte Koup EX 2dr FWD. Engine: 2.0L 1-4 Engine. Power: 156@6,200 rpm. Automatic transmission. 0-60 in 7.6 seconds. According to a test drive I saw on you tube it went from 45 to 71 in 20 seconds.

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Question 561626: There's a train going 165 mph and you are going 54 miles per hour, you intersect in 10 miles but then it starts to rain and slows the train by 5 miles. Then the wind picks up and you go 1 mile slower... how much should you speed up to miss the train?
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Question 561789: Lakeview is 85 miles from springfeild. Jerry must go to the law library in springfeild to get a document for the law firm for which he works. find how long it takes him to drive round trip if he averages 41mph.
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Question 562010: A teenager rollerblades for 10 km in 1 hour, 23 minutes and 20 seconds. At what average speed does he travel?
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Question 562018: A train travels from city A to city B and then to city C. The distance from A to B is 51 miles and the distance from B to C is 75 miles. the average velocity from A to B was 35mph and the average velocity from B to C was 50mph. What was the average velocity from A to C in miles per hour?
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Question 562106: A plane traveled 1012 miles to go to jacksonville and back. The trip there was with wind. It took 11 hours.The trip back took 22 hours. What is the speed of the plane in still air? What is the speed of the wind?
-----------------------------------------------------------------------------------------
I tried drawing a table, but it has been a wile since I have solved any problems. The answer I got was a repeating decimal, so I doubt very much its likelihood of being correct.

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Question 562205: maria can run laps around the school in the time it takes Susan to run 3 times around the track. how many laps will maria have run when Susan has run 12 laps
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Question 562205: maria can run laps around the school in the time it takes Susan to run 3 times around the track. how many laps will maria have run when Susan has run 12 laps
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Question 562218: drives 3hrs @ a certain rate of speed, then increases by 5mph & drives 2 more hrs. if org speed was 30mph how far did he drive?
I tried 3*30=90 90*5=450 he 450-90=360miles

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Question 562223: it takes a botat 2 hours to travel 20 miles down a river and 3 hours to return upstream to its starting point. what is the rate of the current in the river
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Question 562268: if you walk 2 meters per second how many seconds would it be to walk 200 meters
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Question 562317: Arthur weighs 34lbs more than Lily. Their combined weight is 180lbs less than four times Lily's weight. How much does Lily weigh?
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Question 562297: the speed of a freight train is 14 mph slower than that of passanger train.if the passenger train travels 400 miles in the time it take the freight train to travel 70 fewer miles ,what is the speed of the passenger train
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Question 562382: The height of an object thrown upward with an initial velocity of 32 feet per second is given by the formula h=-16t^2+32t, where t is the time in seconds. How long will it take the object to reach a height of 16 feet?
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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, 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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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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, 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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