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

Tutors Answer Your Questions about Travel Word Problems (FREE)

Question 149371: A cyclist rode 40 mi. before having a flat tire and then walking 5 mi to a service station. The cycling rate was four times the walking rate. The time spent cycling and walking was 5 h. Find the rate at which the cyclist was riding.
Click here to see answer by mangopeeler07(462)

Question 149434: A man in a canoe is paddling upstream. He passes a floating log (going downstream) at the Elk's Lodge. He continues to paddle for 90 more minutes, before turning around to go downstream. The canoer reaches the log again at the sewer plant which is exactly 1 mile from the Elk's lodge. At what rate is the river flowing?
Click here to see answer by ankor@dixie-net.com(22740)

Question 149667: A cyclist bikes x distance at 10 miles per hour and returns over the same path at 8 miles per hour. What is the cyclist's average rate for the round trip in miles per hour?
A. 8.1
B. 8.3
C. 8.6
D. 8.9 correct answer
E. 9.0
I can't figure this out. We have Rate1 x time1 = rate2 x time2, and I can't get anywhere with that. Please help!
Click here to see answer by nerdybill(7384)

Question 149591: Car A and car B are traveling in the same direction. Car A is traveling at a constant velocity of 60 mph and car B is traveling at a constant velocity of 75mph. If car A reaches mile marker M 20 minutes before car B, how much time will elapse between the time that car B reaches mile marker M and the time that car B reaces car A?
Click here to see answer by ankor@dixie-net.com(22740)

Question 149707: I am having serious dificculty on finding out speed of the express train and the local train.
I know that I double the speed of the express train, by the speed of the local one, but what step do I need to take to find out the speed of the local train?
Question:
An express and local train leave Gray's lake at 3 pm and head for Chicago 50 miles away. The express travels twice as fast as the local and arrives 1 hour ahead of it. Find the speed of each train.
Click here to see answer by ptaylor(2198)

Question 149687: During the first part of a trip, Trudy's Honda traveled 120 mi at a certain speed. Trudy then drove another 100 mi at a speed that was 10 mph slower. If the total time of Trudy's trip was 4 hr, what was her speed on each part of the trip?
R=D/T
R= 120/t
R=100/t-10
120/x=100/x-10
x(x-10)/1/120/x x(x-10)/1/100/x-10
Click here to see answer by ptaylor(2198)

Question 149760: If a bowling ball is 8 inches in diameter, what is it's volume to the nearest cubic inch ?
Formula : V= 4/3 (3.14)R3 ----- THAT IS "V" equals pie times r to the 3rd power
I have never worked with any problems like this and just really wanted to see someone work it out !
Click here to see answer by nerdybill(7384)

Question 149759: At 10 am a gymnastics team began traveling to thheir district finals 200 miles away. The A Squad traveled on the interstate at 65 mph and had a flat tire halfway there. Squad B traveled at 55 mph . Aproximatly how many minutes did Squad A sit before Squad B showed up to help them ?
I keep thinking the answer is 10 minutes but the book says it's 17...help !
Click here to see answer by scott8148(6628)

Question 149786: A car travels from Town A to Town B in 3hrs.
The same car travels 15 mph slower from Town B to Town A in 5hrs.
How fast was the car going to get from Town A to Town B?
I know know the Answer to the Question is 37.5 but I don't understand how you get the speed without knowing the distance.
Click here to see answer by scott8148(6628)

Question 149807: The owner of a baseball team had a stadium built such that the outfield fence was the same distance from home plate at all points. About how many acres did the fair area of the baseball field cover ?
(1 acre = 43,560 square feet)
There is a drawing of the field and the length of each side is 350 ft
The book says the answer to this problem is 2.2. Can someone work this out for me ? THANK YOU !
Click here to see answer by Alan3354(69443)

Question 150128: Ernie is flying his personal plane from Houston to St. Paul, a distance of 1,150 miles, for a business meeting with his colleage Bert. Ernie plans to stop in Kansas City for an hour to eat and refuel. He figure he can average about 300 mph while in the air. If he leaves Houston at 9:30 am , what time should he tell Bert to meet his at the airport in St Paul?
Ans : 2:20 pm
Click here to see answer by nerdybill(7384)

Question 150258: I wasn't sure how to solve this one:
(It's not for homework, but my mind seems to be blocked for how I do the right sort of division here...)
If I travel at a speed of 40 miles per hour, and I have to travel a distance of 12 miles, how long will it take me to travel (those 12 miles)?
Click here to see answer by jojo14344(1513)

Question 150358: Height difference
A red ball and green ball are simultaneously tossed into the air. The red ball is given an initial velocity of 96 feet per second, and its height t seconds after it is tossed is -16t^2+p6ft. The green ball is given an initial velocity of 80 feet per second and its height t seconds after it is tossed is -16t^2 + 80 ft
a. find the polynomial that represents the difference in the heights of the two balls.
b. how much higher is the red ball 2 seconds after the ball is tossed?
c. in reality when does the difference in the heights stop increasing?
Click here to see answer by ankor@dixie-net.com(22740)

Question 150471: Hello! Can you please help me with our homework? Please explain it thoroughly and show the solution step by step. Thanks!
Problem: RV and Pearl are 50 meters apart. After recognizing each other from a distance, they run towards each other along a straight path to give each other a hug. RV�s rate is 6 m/s while Pearl runs at 4 m/s. As they start to run, RV�s dog leaves him and run towards Pearl at 8 m/s. Upon reaching Pearl, the dog runs towards RV and continues to run back and forth until they meet. What is the distance traveled by the dog when the two finally hug each other?
My idea about the problem:
x=time
4x + 6x = 50
10 x =50
x = 5 seconds
So, the distance travelled by RV when they hug each other is 20 m and the distance travelled by Pearl is 30 m. I don't have any idea on how to get the total distance travelled by the dog.
Click here to see answer by ankor@dixie-net.com(22740)

Question 150587: by boat, joseph can go 72km upstream to a fishing hole in 4 hours. to go back, he needs only 3 hours. what is his rate upstream and his rate downstream?
Click here to see answer by edjones(8007)

Question 150630: 7) The path of a falling object is given by the function where represents the initial velocity in ft/sec and represents the initial height in feet. Also, s represents the height in feet of the object at any time, t, which is measured in seconds.
a) If a rock is thrown upward with an initial velocity of 40 feet per second from the top of a 30-foot building, write the height (s) equation using this information.
Typing hint: Type t-squared as t^2
Answer:
b) How high is the rock after 2 seconds?
Answer:
Show your work here:

c) After how many seconds will the graph reach maximum height? Show your work algebraically.

Answer:
Show your work here:

d) What is the maximum height?
Answer:
Show your work here:

I have tried numerous approaches but don't feel I have the right answer. If I use the #2 in place of x my solution comes out to s=46 which does not sound reasonable to me. Please help
Click here to see answer by ankor@dixie-net.com(22740)

Question 150665: BY boat, Joseph can go 72 km upstream to a fishing hole in 4 hours. To go back he needs only 3 hours. What is his rate upstream and his rate downstream?
Click here to see answer by stanbon(75887)

Question 150888: 3. Steve traveled 600 miles at a certain speed. Had he gone 20mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle.
Click here to see answer by josmiceli(19441)

Question 151113: jen boarded a bus bound for baguio at exactly 12AM. After one and a half hours, her boyfriend nomz followed driving the recently bought scooter at 80mph(miles per hour). Assuming the bus was travelling at an average speed of 60mph, at what time would Nomz overtake the bus?
Click here to see answer by stanbon(75887)

Question 151115: this is d last question plz help!!
thank you
Two private planes, owned by engr,roel , leave a common airport at the same time and travel in opposite direction. If one travels at 75 kph(kilometer per hour) and the other at 90 kph, how long will it take them to be 800km apart?
Click here to see answer by stanbon(75887)

Question 151123: Can you please help?
A man walks at a pace of 3 miles per hour. After 2 hours he stops for a rest. Let t be time AFTER the rest when he continues on his walk. Let d be the TOTAL distance traveled since he started. Write an equation linking d and t. Explain what you did to get your answer please!!
Click here to see answer by scott8148(6628)

Question 151114: Two MRT trains leave Guadalupe stations at the same time, traveling in opposite direction. The speed of one train is 5mph faster than the other train. At the end of 30 minutes, they are 6 miles apart. Find the rates of speed for each train.
tnx for answering in advance!!
Click here to see answer by galileo(7)

Question 151223: les and gil drove a total of 733 miles in 11.6 hours. les drove the first part of the trip and averaged 55 mph. gil drove the remainder of the trip and averaged 65 mph. how long did les drive?
Click here to see answer by stanbon(75887)

Question 151182: Les and Gil drove a total of 733 miles in 11.6 hours. Les drove the first part of the trip and averaged 55 mph. Gilbert drove the remainder of the trip and averagerd 65 mph. How long did Les drive?
Click here to see answer by checkley77(12844)

Question 151181: a motorboat can go 8 miles downstream in 20 minutes. It takes the same motorboat 30 minutes to go back upstream the same 8 miles. find the speed of the current.
Click here to see answer by nerdybill(7384)

Question 151180: Richard's average driving speed is 23 km per hour faster than Kirk's. In the same length of time it takes Richard to drive 651 km, Kirk drives on 490 km. What is Richard's average speed?
Click here to see answer by checkley77(12844)

Question 151248: I am using an online study guide to prepare for the COMPASS Assessment Test, I am having difficulty with a particular word problems involving d=rt.
Two cyclist start biking from a trail's start point 3 hours apart. The second cyclist travels at 10 mph and starts 3 hours after the first cyclist who is biking at 6 mph. How much time will pass before the second cyclist catches up with the first from the time the second cyclist starts biking?
A. 2 hours
B. 4.5 hours-correct answer
C. 5 8/4 hours
D. 6 hours
E. 7.5 hours
I have no idea even where to start!
Click here to see answer by stanbon(75887)

Question 151245: I am using an online study guide for the COMPASS Assessment Test, I am having trouble with this particuluar word problem. The problem involves d= rt.
If 2 planes leave the same airport at 1:00 PM, how many miles apart will they be at 3:00 PM, if one travels directly north at 150 mph and the other plane travels directly west at 200 mph.
A. 50 miles
B. 100 miles
C. 500 miles-correct answer
D. 700 miles
E. 1000 miles
I originally answered the question D 700 miles, by taking 150+ 200, multiplying the answer by 2 for 2 hours.
Click here to see answer by stanbon(75887)

Question 151179: a plane flies 900 miles with a tail wind, in 3 hours. It takes the same plane 4 hours to fly the 900 miles when flying against the wind. What is the planes speed in still air?
Click here to see answer by ankor@dixie-net.com(22740)

Question 151273: Sally walks 3 miles north of her farm, turns west and walks 4 miles. How far must she walk if she can walk directly back to her farm?
Click here to see answer by tramfw89(2)

Question 151322: How many feet to a mile?
Click here to see answer by stanbon(75887)

Question 151349: Please help me in my assignment I'm sorry to say that I'm very poor in worded problems. This is a take home quiz and i dn't know where our teacher get it.
so here is my question......
2 boys are 96yards apart.if they run towards each other they will meet in 8secs.
if they run at the same starting point the faster boy overtake the slower boy in 48 seconds.Find the rate of each.
I don't know if my answer is correct. Please send me the step by step solution so that i can study it. Thank you
Click here to see answer by ankor@dixie-net.com(22740)

Question 151378: Determine the speed of a motorboat in still water and the speed of the river current, if it takes 3 hrs to travel a distance of 45 miles upstream and 2 hrs to travel 50 miles downstream.
Click here to see answer by ankor@dixie-net.com(22740)

Question 151403: I am having difficulty setting up this word problem. If a taxi charges .50 for the first 1/5 of a mile, and .20 for every 1/10 of a mile after that, how much would it cost to go 2 miles?
Click here to see answer by checkley77(12844)

Question 151407: A freight train takes 2 hours longer to travel 300 miles than an express train to travel 280 miles. The rate of the express train is 20mph greater than the rate of the freight train. Find the time for the express train.
Please help!
Click here to see answer by checkley77(12844)

Question 151631: Ramona is staying at a vacation resort called Stony Cabins. She rents a canoe and take 1.5 hours to paddle her canoe upstream. Ramona turns her canoe around and returns downstream to her cabin in exactly 1 hour. What is the rate of the creek's current and the rate of Ramona's paddling in still water?
Click here to see answer by ankor@dixie-net.com(22740)

Question 151673: a train leaves station m and travels west at 35 km/hr. One hour later, a faster train leaves station m and also travels west on a parallel track at 40 km/hr. How far from station m will the faster train catch the slower one?
Click here to see answer by ankor@dixie-net.com(22740)

Question 151754: Juan left home on his bicycle at 10:00a.m. traveling at 21km/h. At noon, his brother set out after him on his motorcycle following the same route. If the motorcycle traveled at 63km/h, what time did Juan's brother overtake him?
Click here to see answer by nerdybill(7384)

Question 151753: Mary Beth and Michael leave school traveling in opposite directions. Michael is walking and Mary Beth is biking, averaging 6km/h more than Michael. If they are 18km apart after 1.5 hours, what is Michael's rate?
Click here to see answer by ankor@dixie-net.com(22740)

Question 151766: two busses are 515 miles apart. At 9:30 AM they start traveling toward each other at rates of 48 and 55 miles per hour. At what time will they pass each other?
Click here to see answer by orca(409)

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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