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

Tutors Answer Your Questions about Travel Word Problems (FREE)

Question 189995: Two planes leave Chicago - one traveling due east and the other due west. The first travels 100 miles per hour faster than the second. How long will it be until they are 2000 miles apart?
Click here to see answer by josmiceli(19441)

Question 190059: Before, solving the problem, I just want to give you the heads up. It's Application of Rational Equations. I can't find the specific title to relate with my story problems. My chapter in the book is Chapter Six Solving Rational Equations and Application of rational Equations. Hope it helps! (D=RxT)
*A twin engine plane can fly 800 miles in the same amount of time that it takes a single engine plane to fly 600 miles. The rate of the twin engine plane is 50 mph faster than that of the single engine plane. Find the rate of each plane.
Click here to see answer by solver91311(24713)

Question 190063: Before, solving the problem, I just want to give you the heads up. It's Application of Rational Equations. I can't find the specific title to relate with my story problems. My chapter in the book is Chapter Six Solving Rational Equations and Application of rational Equations. Hope it helps! (D=RxT)

*The sum of a number and its reciprocal is 25/12. Find the number.
Click here to see answer by solver91311(24713)

Question 190058: Before, solving the problem, I just want to give you the heads up. It's Application of Rational Equations. I can't find the specific title to relate with my story problems. My chapter in the book is Chapter Six Solving Rational Equations and Application of rational Equations. Hope it helps!
One number is 4 times as larger as another. The sum of their reciprocals is 5/12. Find the two numbers.
Click here to see answer by ankor@dixie-net.com(22740)

Question 190062: Before, solving the problem, I just want to give you the heads up. It's Application of Rational Equations. I can't find the specific title to relate with my story problems. My chapter in the book is Chapter Six Solving Rational Equations and Application of rational Equations. Hope it helps! (D=RxT)

*Elenore Morales traveled 1600 miles by commerical jet from Kansas City to Spokane. She then traveled as additional 500 miles on a private propeller plane from Spokane to Billings. If the speed of the jet was 4 times the speed of the propeller plane and the total time in the air was 6 hours, determine the speed of each plane.
Click here to see answer by stanbon(75887)

Question 190060: Before, solving the problem, I just want to give you the heads up. It's Application of Rational Equations. I can't find the specific title to relate with my story problems. My chapter in the book is Chapter Six Solving Rational Equations and Application of rational Equations. Hope it helps! (D=RxT)

*Rowing with the current of a river a rowing team can row 25 miles in the same amount of time as it takes to row 15 miles against the current. The rate of the rowing team in calm water is 20 mph. Find the rate of the current.
Click here to see answer by scott8148(6628)

Question 190155: How far away can a boy ride his bicycle if he rides away at 10 kilometers per hour and returns at 9 kilometers per hour? The entire trip takes 9.5 hours.
Click here to see answer by nerdybill(7384)

Question 190239: Joe Fleet jogs at 8 mph. Ron hikes at 4 mph. They start from opposite ends of a 44 mile hiking trail at the same. Time. How far does each go if Ron has 15 minutes to set up camp before Joe arrives?
Click here to see answer by josmiceli(19441)

Question 190278: A fire truck travelling at fifty miles an hour takes 5 minutes to reach the emergency scene. How many miles is the fire station from this incident?
I know the answer is 4.16 miles but how do you set this equation up? Can you please show me the work and how you would solve this problem step by step thanks.
Click here to see answer by solver91311(24713)

Question 190286: A pumper takes nine minutes to reach the scene of a fire located eighteen city blocks away. If one mile equals three city blocks, how fast is the truck travelling?
Click here to see answer by jonvaliente(64)

Question 190306: A cruise boat travels 60 miles downstream in 3 hours and returns to its starting point upstream in 12 hours. Find the speed of the stream.
Click here to see answer by orca(409)

Question 190300: A river flows at 3mph. A boat takes 1 hour longer to sail 36 miles upstream than to return. What is the speed of the boat in still water?
I have worked for hours on this problem and get equations that seem almost right but do not give me the answer. My math major friend cannot figure it out either. I'd appreciate if you would help me please. Thank you.
Click here to see answer by ptaylor(2198)

Question 190401: At 10 a.m., two campers left their campsite by canoe and paddled downstream at an average speed of 12 mph. They then turned around and paddled back upstream at an average rate of 4 mph. The total trip took 1 h. At what time did the campers turn around downstream?
Thanks.
Click here to see answer by solver91311(24713)

Question 190298: There is a freight train that travels 30 mph. An express train travels 55 mph. The freight train is 300 miles ahead of the express train. How long will it take for the express train to overtake the freight train?
I found out that 25x=9000 is the equation, and I see how those numbers were gotten. 55-30 is 25 and 300 times 30 is 9000 but I do not understand how 25 helps or what it stands for and what this equation is representing. Thanks for your help.
Click here to see answer by Alan3354(69443)

Question 190440: Dave averaged 30 miles per hour on his bike trip to a friend's house. His return trip took an hour longer, as he averaged 20 miles per hour. What was his one-way distance to his friends?
d = s * t
Click here to see answer by msaxby(1)

Question 190539: Two swimmers start out from opposite ends of a swimming pool(red side and blue side). They cross each other for the first time at line PQ, which is 21 yards from the red side and 29 yards from the blue side. They reach the opposite ends, turn around and cross again at line RS. Assuming that they both travel at constant speeds, how far is line RS from the blue side? The line RS is to the right of line PQ, which is 21 feet from the red side.

Click here to see answer by scott8148(6628)

Question 190584: Car agency A will rent a compact car for $40 per day and an additional charge of $0.20 per mile. Car rental agency B will charge only $0.16 per mile but charges $51 per day. Adam wanted to rent a car for four days, how many miles would Adam have to drive to make car rental agency B a better bargain?
Click here to see answer by checkley75(3666)

Question 190828: A cyclist bikes at a constant speed for 17 miles. He then returns home at the same speed but takes a different route. His return trip takes one hour longer and is 22 miles. Find his speed.
I was trying to do this problem this way:
Distance
Rate
Time = Distance/Rate
cyclist travels away from home
17
x = speed?
17/x
cyclist returns home different route
22
x + 1
22/x+1
I know this is not correct and that I have to find the average rate. I also don't know the time.
Thank you in advance!

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

Question 191229: Two ships leave a port at 9 A.M. One travels at a bearing of N 53* W at 12 miles per hour and the other travels at a bearing of S 67* W at 16 miles per hour. Approximate how far apart they are at noon that day.
Click here to see answer by Alan3354(69443)

Question 191348: IF THOMAS IS TRAVELING AT 65 MPH TO A LOCATION THAT IS 20 MILES AWAY, HOW LONG (ROUNDED TO THE NEAREST MINUTE) WILL IT TAKE FOR HIM TO REACH HIS DESTINATION ASSUMING HE MAINTAINS A CONSTANT SPEED.
Click here to see answer by checkley75(3666)

Question 191423: A fire truck travelling at fifty miles an hour takes 5 minutes to reach the emergency scene. How many miles is the fire station from this incident?

Click here to see answer by jojo14344(1513)

Question 191427: Two planes leave Chicago - one traveling due east and the other due west. The first travels 100 miles per hour faster than the second. How long will it be until they are 2000 miles apart?
Click here to see answer by Alan3354(69443)

Question 191432: A motorboat at full throttle takes two hours longer to travel 75 miles against the current than it takes to travel the same distance with current. If the rate of the current is 5 mph, then what is the speed of the boat at full throttle in still water?
Click here to see answer by RAY100(1637)

Question 191433: Smith bicycled 45 miles going east from Durango, and Jones bicycled 70 miles. Jones averaged 5mph more than Smith, and his trip took one-half hour longer that Smith's. how fast was each one traveling?
Click here to see answer by stanbon(75887)

Question 191436: A 100-foot vertical tower is to be erected on the side of a hill that makes a 6* angle with the horizontal. Find the length of each of the two guy wires that will be anchored 75 feet uphill and downhill from the base of the tower.
Click here to see answer by ankor@dixie-net.com(22740)

Question 191682: A diesel train traveled to Johannesburg and back. It took 9 hours longer to go there than it did to come back. The average speed on the trip there was 10 km/h. The average speed on the way back was 55 km/h. How many hours did trip there take.
Manish
Click here to see answer by ankor@dixie-net.com(22740)

Question 191466: A rectangle with an area of 36 squares mile. The length is one mile more than twice of the width. Find the dimension of this rectangle.
Click here to see answer by jonvaliente(64)

Question 191981: Cross-country cycling. Erin was traveling across the
desert on her bicycle. Before lunch she traveled 60 miles
(mi); after lunch she traveled 46 mi. She put in 1 hour
more after lunch than before lunch, but her speed was
4 mph slower than before. What was her speed before
lunch and after lunch?
I tried solving this problem by using the d=r(t) equation.
x=rate y=time
before lunch= 60/x=y
after lunch= 48/x-4=y+1
so I substituted 60/x for y
46/x-4=60/x +1
46x=60(x-4) +x(x-4)
46x= 60x-240+x^2-4x
46x=x^2+56x-240
0=x^2+10x-240
I plug this into the quadratic formula, and it doesn't work, any suggestions?

Click here to see answer by jim_thompson5910(35256)

Question 191944: 106. Pole vaulting. In 1981 Vladimir Poliakov (USSR)
set a world record of 19 ft 3/4
in. for the pole vault
(www.polevault.com). To reach that height, Poliakov
obtained a speed of approximately 36 feet per second on
the runway. The formula h _ _16t2 _ 36t gives his
height t seconds after leaving the ground.
a) Use the formula to find the exact values of t for which
his height was 18 feet.
b) Use the accompanying graph to estimate the value of t
for which he was at his maximum height.
c) Approximately how long was he in the air?

Click here to see answer by Alan3354(69443)

Question 192055: A car gets 28mpg city and 40mpg highway. It is driven 278 miles and used 8 gallons of gas. How many gallons were used on the highway?
Click here to see answer by stanbon(75887)

Question 192100: Two cars start at a given point and travel in the same direction at average speeds of 48 miles per hour and 56 miles per hour. How much time must elapse before the two cars are 12 miles apart?
Click here to see answer by checkley75(3666)

Question 192109: Two cars leave Charlotte at the same time and travel in opposite directions along I- 77. One car travels 14 miles per hour faster than the other car. After four hours they are 480 miles apart. What is the speed of the slower car?
Click here to see answer by checkley75(3666)

Question 192044: suppose you are at a river resort and rent a motor boat for 5 hours starting at 7 am. You are told that the boat will travel at 8 mph upstream and 12 mph downstream. you decide that you want to go as far up the river as you can and still be back by noon. At what time should you turn back, and how far from the resort will you be at the time?
Click here to see answer by edjones(8007)

Question 192127: Brenda and her husband Randy bicycled cross-country together. One morning, Brenda rode 30 miles. By traveling only 5 miles per hour faster and putting in one more hour, Randy covered twice the distance Brenda covered. What was the speed of each cyclist?
Click here to see answer by ankor@dixie-net.com(22740)

Question 192053: Mike takes the same amount of time to walk 3 miles as it takes Bryan to ride his bicycle 5 miles. If Bryan travels 5 miles per hour faster than Mike, what is Bryan's rate of speed?
Click here to see answer by ankor@dixie-net.com(22740)

Question 192275: Tossing a Ball. A ball is tossed into the air at 10ft/sec from a height of 5 feet. How long does it take to reach the ground?
I really don't know even how to set this problem up. I just need the formula, and then I'm able to figure it out!!
Click here to see answer by Alan3354(69443)

Question 192352: A pole that is 2.9 tall casts a shadow that is 1.58 long. At the same time a nearby tower casts a shadow that is 50.5 long. How tall is the tower? Round your answer to the nearest meter.
Click here to see answer by RAY100(1637)

Question 192409: If a car travels 1/100 of a kilometer each second, how many kilometers does it travel in an hour?
Click here to see answer by edjones(8007)

Question 192409: If a car travels 1/100 of a kilometer each second, how many kilometers does it travel in an hour?
Click here to see answer by ankor@dixie-net.com(22740)

Question 192456: Sonia and her family traveled 235 miles in 5 hours. If they travel at the same speed, how long will it take them to travel 650 miles?
Click here to see answer by Earlsdon(6294)

Question 192637: Ruth was hauling a wide load out of Boston. At 4:00 a.m. she headed south from exit 129 at an average of 25 mph. Nadia headed south from the same exit at 11:00 a.m. in her Toyota. By 5:00 p.m. the same day Nadia was 17 miles ahead of Ruth. what was Nadia's average speed?
Okay, so I have NO idea how to do this. what times do I use? My teacher has my class use the whole D=RT formula, but since there are two people and one is ahead of the other how do I work this out?
Please and thank you,
Christina
Click here to see answer by Edwin McCravy(20054)

Question 192773: A plane cruises at 180mph in calm air. If the plane flies 7 miles with the wind in the same amount of time as it flies 5 miles against the wind, then what is the speed?
Click here to see answer by RAY100(1637)

Question 192844: 1. You jog at a speed of 6 miles per hour for 20 minutes, and you walk at a speed of 4 miles per hour for t minutes. If your combined jogging and walking distance is 3 miles, for how long did you walk?
Click here to see answer by stanbon(75887)

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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