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

Tutors Answer Your Questions about Travel Word Problems (FREE)

Question 96020: During rush hour, Ella can drive 60 miles using the side roads in the same time that it takes to travel 25 miles on the freeway. If Ella's rate on the side roads is 7 mi/h faster than her rate on the freeway, find her rate on the side roads.
Click here to see answer by Edwin McCravy(8893)

Question 96041: I need help with this problem.
A plane flies 720 mi against a steady 30 mi/h headwind and then returns to the same point with the wind. If the entire trip takes 10 h, what is the plane's speed in still air?
Here is what I know: If r is the rate of the plane (in miles per hour)in still air, then the rate against the wind would be r - 30 and the rate with the wind would be r + 30. I don't know what to do after this point.
Click here to see answer by checkley71(8403)

Question 96178: I have been working on word problems all night and I am now stumped and exausted. Can you please help me figure this one out.I would really appriciate it. Thank you.
Martina leaves home at 9 A.M., bicycling at a rate of24 mi/h. Two hours later, John leaves, driving at the rate of 48 mi/h. At what time
will John catch up with Martina?
Click here to see answer by stanbon(57282)

Question 96261: Dave and Sam are racing in the Dallas NASCAR Race. Dave is traveling at 187 mph and Sam at 193 mph. How long will it be before Sam is 3 miles ahead of Dave?
Click here to see answer by ankor@dixie-net.com(15645)

Question 96341: This is from a teacher created worksheet. A carrier and a destroyer left the same port at 8:00am and sailed in the same direction. The carrier averaged 30km/h and the destroyer traveled at 75km/h. At what time will they be 375 km apart.
Thanks for your help
Click here to see answer by checkley71(8403)

Question 96368: if a train is moving at the rate of 1 kilometer in 1 minute and 20 seconds how far will it travel in 1 hour
Click here to see answer by edjones(7569)

Question 96403: a plane is flying from NYC to SF. It normally flies 300 mph. there is 30 mph wind heading west to east. How long does it take to fly 200 miles to SF and how long does it take to fly 200 miles back to NYC
Click here to see answer by checkley71(8403)

Question 96404: 2 buses leave at the same time from 2 terminals 792 km apart and meet in 9 hrs. one travels 8 kph faster than the othe. how far did the faster bus travels
Click here to see answer by checkley71(8403)

Question 96417: A train travels 75 miles in 55 minutes. find the average speed?
Click here to see answer by checkley71(8403)

Question 96312: a motor boat can maintain a constant speed of 16 miles 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 ankor@dixie-net.com(15645)

Question 96260: Maria and Eduardo are traveling to a business conference. The trip takes 2 hr for Maria and 2.5 hr for Eduardo, since he lives 40 mi farther away. Eduardo travels 5 mph faster than Maria. Find their average rates.
Click here to see answer by ankor@dixie-net.com(15645)

Question 96369: A funny car starts from rest and reaches a speed of 367 ft/sec in 5.5 seconds. What is the acceleration of the dragster for this quarter mile event? What is the average speed? I correctly solved the first part, but I do not know how to find average speed?
Click here to see answer by ankor@dixie-net.com(15645)

Question 96486: two cyclists leave the city at the same time, one going east and the other going west. The westbound cyclist bikes 5mph faster than the eastbound cyclist. after 6 hours they are 246 miles apart. How fast is each cyclist riding?
Click here to see answer by stanbon(57282)

Question 96487: How much water should be added to 1 gallon of pure antifreeze to obtain a solution that is 60% antifreeze?
Click here to see answer by stanbon(57282)

Question 96532: Brian is participating in a 34.5 mile endurance program that begins with jogging and ends with biking. He jogs at 5 miles per hour to a location where he picks up his bike and rides at 18 miles per hour to the finish line. Find the amount of time he traveled at each of the speeds if his total time for the endurance program was 2 hours and 21 minutes?
Click here to see answer by psbhowmick(529)

Question 96658: when fritz drives to work his trip takes 40 minutes, but when he takes the train it takes 30 minutes. find the distance fritz travels to work if the train travels an average of 15 mph faster than his driving.
Click here to see answer by checkley71(8403)

Question 96803: A man drives 600 miles to a convention. on the return trip he increases his speed by 10 mph and saves 2 hours driving time. how fast did he drive going to and from the convention?
Not from a textbook..a handed out assignment.
Click here to see answer by checkley71(8403)

Question 96834: Ok i need to drive 250 miles and i will be driving at 75 mph how long would it take, can you provide an equation, please. i would save it and appreciate it.
Click here to see answer by ptaylor(2048)

Question 96918: This problem is word for word from a homework assignment where the kids are allowed to get help.
Four people are on a team in a race. It is night time and the team comes to an old rickety bridege. The bridge looks pretty frail and the team thinks that at most only ttwo people can be on the bridge at one time. The team has one flashlight among them. The bridge has gaps in it and whoever crosses the bridge must have the flashlight. That is to say the flashlight must cross the bridge every time. It takes each person a different time to cross the bridge. It takes person A 10 minutes to cross the bridge by themselves, B 5 minutes, C 2 minutes and D 1 minute.
The rules are as follows:
1) If two people cross the bridge the time it takes is as slow as the slowest person crossing at the time.
2) The flashlight cannot leave the team's hands (it can't be thrown, tossed, rolled, etc--it must cross with someone)
3) No carrying of people, so no piggyback riding.
Question: What is the SHORTEST time it takes all four people to get across? (Don't forget to add time for return trips also).
Ex. A & D go together-10 min.
A comes back-10 minutes.
A & C go together- 10 min.
A comes back-10 min.
A & B go together-10 min.
All people are across and it took 50 minutes.
(This is not the correct answer, just an example of how the problem should be done)

Click here to see answer by scott8148(6628)

Question 96888: A car completed a 1000 mile race in 35 hours. For the 600 miles traveled driving daylight, the car averaged 20 mph more than it did for the 400 miles traveled at night. What was the average speed of the car during the daytime?

Not from a text book, was a handed out assignment
Click here to see answer by scott8148(6628)

Question 96972: A bike race consists of two segments whose total length is 90 km. The first segment is covered at 10 kph and takes 2 hours longer to complete than the second segment, which is covered at 25 kph. How long is each segment?
I have tried setting it up as t/25 = (t+2)/10 but for some reason I can't figure out the algebra.
Thanks!
Click here to see answer by Earlsdon(6287)

Question 97011: Rita Rowen can paddle her canoe up river at 3 miles per hour and she can paddle her canoe down the river at 9 miles per hour. She started from her home and paddled up stream to the ice cream parlor and immediately realizes she forgot her money. So she then paddled back home (downstream), If the entire trip, up stream and back took her 8 hours, how far up stream was the ice cream parlor from her home?
Click here to see answer by stanbon(57282)

Question 97091: Hello,
Please help with this word problem and show steps on how you recieved answer? I really suck at word problems and this is really stumping me.
Chuck and Diane agree to meet in Chicago for a Cubs game. Chuck travels 160 miles in the same time that diane travels 145 miles. If Chuck's rate of travel is 3mph faster than Diane's, and they travel the same length of time, at what speed does Chuck travel.

Click here to see answer by checkley71(8403)

Question 97045: I am no good at working out word problems culd someone please help me with this? I am not sure how to turn it into to an equation r how to solve it. Please help me.
a plane took 1 hour longer to travel 560 miles on the firet portion of a flight then it took to fly 480 miles on the second portion. If the speed was the same for each portion, what was the flying time for the second part of the trip?

Click here to see answer by checkley71(8403)

Question 97133: An executive flew in a jet to a meeting in a city 1500 kilometers away.Ater traveling the same amount of time on the return flight, the pilot mentioned that they still had 300 kilometers to go.The air speed of the plane was 600 kilometers per hour.How fast was the wind blowing?(Assume that the wind direction was parallel to the flight path and constant all day.)
Click here to see answer by stanbon(57282)

Question 97046: Someone please help me with this word problem. I am not sure what I am supposed to do to solve it.
During rush hour, Fernando can drive 40 miles using the side roads in the same time that it takes to travel 30 miles on the freeway. If Fernando's rate on the side roads is 7 mi/h faster than his rate on the freeway, find his rate on the side roads.
Click here to see answer by scott8148(6628)

Question 97149: I have tried what I thought to be the rate x time=distance formula for the problem below:
John and Bill left a bus terminal at the same time and travelled in opposite directions. John's bus was in heavy traffic and had to travel 20 mi/h slower than Bill's bus. After 3 hours, their buses were 270 miles apart. How fast was each bus going?
I tried doing:
x+x+20(3)=270
2x+60=270
-60=270-60
2x/2=210/2
x=105 mi/h
x+20=125 mi/h
This did not make much sense to me as to why a bus would be going 125 mi/h, and I just am not sure how to set up the correct formula.
Click here to see answer by checkley71(8403)

Question 97156: Two cities are 315 miles apart. a car leaves one of the cities traveling toward the second city at 50 miles per hour. At the same time a bus leaves the second city at 55 miles per hour. How long will it take for them to meet?
Click here to see answer by edjones(7569)

Question 97223:
Click here to see answer by edjones(7569)

Question 97223:
Click here to see answer by jazzijan(1)

Question 97318: Madison left Seattle at 4:48 p.m. and traveled at a rate of 36 kph less than 4 times the speed of Luis, who left at the same time but in the opposite direction. By the time it was 6:07 p. m., they were 164 kilometers apart. What were their speeds?
Please help it is driving me crazy!
Click here to see answer by scott8148(6628)

Question 97430: An airplane whose speed though the air is 500 km/hr covers a distance over the ground of 1,000 km in 2.5 hours. How fast was the wind against the plane?
Click here to see answer by checkley71(8403)

Question 97020: If the speed of light is 3.00 x 10^8 m/sec, how long does it take to travel 2.29 x 10^11?
Click here to see answer by edjones(7569)

Question 97190: Two trains left a station at the same time. One travelled north at a certain speed and th eother travelled south at twice the speed. After 4 hours, the trains were 600 miles apart. How fast was each train moving?
Click here to see answer by ankor@dixie-net.com(15645)

Question 97604: Science and medicine. The equation h=-16t^2+112t gives the height of an
arrow, shot upward from the ground with an initial velocity of 112 ft/s, where t is the time after the arrow leaves the ground. Find the time it takes for the arrow to reach a height of 180 ft.Solve to the nearest thousandth.
Please help me. I need to show all of the work and I am stumped. I have a horrible problem with word problems.
Thank you very much for your help.
Click here to see answer by Earlsdon(6287)

Question 97775: Two runners enter the same marathon. If the faster runner's speed is 9.2 miles per hour and the two runners are 4.8 miles apart after 3 hours, find the speed of the slower runner.
Click here to see answer by mathslover(135)

Question 97911: One morning, John drove 5 hours before stopping to eat. After lunch he increased his speed by 10 mph. If he completed a 430 mile trip in 8 hrs of driving time, how fast did he drive in the morning?
Click here to see answer by rajagopalan(158)

Question 97896: This is from one of my son's homework assignments already turned in, but I am out of practice on word problems and the correct answer to this one escaped me -
2 swimmers start out from the opposite ends of a pool, R and B. They cross each other for the first time at at a point 32 yards from R. They both reach the opposite end from where they started, turn around and and cross again at a point 18 yards from B. They are both traveling at a constant speed (unknown for each), what is the total length of the pool?
Click here to see answer by ankor@dixie-net.com(15645)

Question 97986: In a walkathon to raise money for charity, elisa walked a certian distance at 5 mi/h and then walked twice that distance at 8 mi/h. Her total time walking and jogging was 2h and 15min. How many miles long was the walkathon?
I know that you have to multiply the time times the rate, but I can't figure out the equation to do it. Please help.
Click here to see answer by ptaylor(2048)

Question 97985: In a bicycle race, Lionel gives Robert a 500m advantage. Also, Lionel agrees to start 15min after Robert. If Lionel bikes at 17km/h and Robert at 14km/h, how long will it take Lionel after he starts biking to overtake Robert?
I already know that you have to convert 500m to 0.5km and 15min to 0.25hours. I have to make an equation out of this but I don't know how. Please help.
Click here to see answer by ankor@dixie-net.com(15645)

Question 97959: Jenne drives to her son's house in 5 hours when there is heavy traffic. When there is no traffic, the same tri takes 4 hours. She can drive an average of 12 m.p.h faster when there is no traffic than when there is heavy traffic. What is her average speed when there is no traffic? What is the distance from her house to her son's house?
Click here to see answer by ankor@dixie-net.com(15645)

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