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

Tutors Answer Your Questions about Travel Word Problems (FREE)

Question 136069: Rip skates across a frozen lake at 10 mph. and returns at 5 mph. if his total skating time is one hour, how wide is the lake?
Click here to see answer by ptaylor(2048)

Question 136098: Kurt rows 72 km upstream and 72km back in a total of 7hrs. The speed of the river is 3km/h. Find kurt's speed in still water.
Click here to see answer by edjones(7569)

Question 136118: Hertz and Heinz took off from the same spot at the same time and headed in the same direction. If Hertz travels at 65 mph and Heinz travels at 55 mph, how long will it take for Hertz to be 15 miles ahead of Heinz?
Click here to see answer by checkley77(12569)

Question 136251: Two planes leave Los Angeles at the same time. One heads south to San Diego; the other heads north to San Francisco. The San Francisco plane flies 50 mph faster. In 1/2 hr, the planes are 275 mi apart. What are their speeds?
Click here to see answer by josmiceli(9664)

Question 136427: In a race you need to avg. 2 laps at 60 mph. If you go 30 mph in the first lap how fast must you go in the second lap to avg. 60 mph for both laps.
Click here to see answer by ptaylor(2048)

Question 136497: Fred jogs uphill at 8mph to work.On his way home (downhill) he averages 11mph and takes him 15 min less time.How far does he live from work?
Click here to see answer by checkley77(12569)

Question 136564: Can you help me solve this?
An approximate linear model that gives the remaining distance, in miles, a plane must travel from Los Angeles to Paris is given by s(t)=6000-500t where s(t) is the remaining distance t hours after the flight begins. Find and discuss the meaning, in the context of this application, of the intercepts on the vertical and horizontal axes.
Click here to see answer by vleith(2825)

Question 136601: A cyclist traveled at a rate of 24mph to visit a nearby town. The cyclist averaged 18mph on the return trip. If the round trip took 4.9 hours, find the distance to the nearby town.
I am not sure how to work this one. I know that D=R(T). But I am confused because I have a combined round trip time instead of a time going and a time coming back.
Click here to see answer by solver91311(16872)

Question 136647: Jacqui commutes 30 mi to her job each day. She finds that if she drives 10 mi/h faster, it takes her 6 min less to get to work. Find her new speed.
Click here to see answer by ankor@dixie-net.com(15645)

Question 136626: Alice leaves Denver, driving at a constant speed. After a while, she passes a mile marker displaying a two-digit number. One hour later, she passes a second marker with the same two digits in reverse order. In another hour she passes a third marker with the same two numbers separated by a zero. What is the rate of Alice's car in miles per hour?
Click here to see answer by ankor@dixie-net.com(15645)

Question 136653: Please help me solve this word problem:
A ball is projected upward from the ground. Its distance in feet from the ground in t seconds is given by the equation s(t)=-16t^2+128t. At what times will the ball be 100 feet from the ground?
Click here to see answer by scott8148(6628)

Question 136654: Please help me solve this word problem:
A ball is projected upward from the ground. Its distance in feet from the ground in t seconds is given by the equation s(t)=-16t^2+128t. At what times will the ball be 100 feet from the ground?
Click here to see answer by scott8148(6628)

Question 136760: A train M leaves station A at 5 a.m. and reaches station B at 9 a.m. Another train N leaves station B at 7 a.m and reaches station A at 10.30 a.m. At what time do the two trains cross one another?
Click here to see answer by ankor@dixie-net.com(15645)

Question 136949: It takes the earth 1.0 years to travel around the sun. It takes Venus 0.615 years to orbit the sun. If the planets are in a straight line with the sun now, how long will it take before this is the case again?
Click here to see answer by stanbon(57282)

Question 136924: When Frank Gresham drove 150 miles in the city, the fuel efficency rating for his car was 18mi/gal. For Highway driving, the fuel efficiency rating is 24 mi/gal. How far will Frank have to drive on the highway for his car to have a fuel efficency rating of 20mi/gal
Click here to see answer by ankor@dixie-net.com(15645)

Question 136970: can you solve?
A boat moves 7kph in still water. It ravels 45 km upriver and 45 km downriver in a total time of 14 hours. What is the speed of the current?
I am more interested in the work than the answer so please show me step by step.
Thanks
Click here to see answer by checkley77(12569)

Question 136979: Please help...
A boat moves 7 kph in still water. It travels 445 km upriver and 45 km downriver in a total time of 14 hours. What is the speed of the current?
All I know is that the distances are equal.
But I don't know how to set up the equation and how to solve it.
Thank you for the help.
Click here to see answer by checkley77(12569)

Question 137152: Mack traveled from his home to his office at a speed of 58 mph. He traveled the same route on his way back home , but on the return trip his speed was 62 mph. If altogether, Mack spent a total of 3 hours on the road, how many hours did the trip to his office take?
Click here to see answer by stanbon(57282)

Question 137153: a 555-mile, 5-hour plane trip was flown at two speeds. For the first part of the trip, the average speed was 105 mph. Then the tailwind picked up, and the remainder of the trip was flown at an average speed of 155 mph. For how long did the plane fly at each speed?
Click here to see answer by ankor@dixie-net.com(15645)

Question 137120: marge drove to a business appointment at 50mph. her average speed on the return trip in the afternoon was 40mph. the return trip took 1/4 hour longer. how far did she travel?
Click here to see answer by ankor@dixie-net.com(15645)

Question 137109: John drove to a distant city in 5 hours, when he returned, there was less traffic, and the trip took only 3hrs. If John drove 26 mph faster on the return trip, how fast did he drive each way?
Click here to see answer by checkley77(12569)

Question 137107: Jim and Juan are going to drive their motorcycles from Gastonia to Charleston. Jim leaves at 8:00 am but Juan can not leave until 8:30 am. If Jim drives at 50 mph and Juan drives at 55 mph, at what time will Juan catch up with Jim?
Click here to see answer by checkley77(12569)

Question 137278: Distance between Train 1 and Train 2=95 miles
Avg speed Train 1 = 45mph, avg speed Train 2=60mph
If both trains leave at the same time and travel toward each other but on parallel tracks, in how much time will their engines be opposite each other?
Hint: When the engines are opposite each other, together the trains will have traveled 95 miles. their relative speed of travel is the sum of their respective speeds, or 105mph.
Click here to see answer by ankor@dixie-net.com(15645)

Question 137245: John left school at 2:30. He travels 3 miles per hour. His brother left school 5 minutes later. He travels 3.6 miles per hour. At what time will Johns's brother catch up with him?

Click here to see answer by ankor@dixie-net.com(15645)

Question 137279: avg speed to car 1 = 55 mph
avg speed of car 2 = 70 mph
time elapsed between start of car 1 and start of car 2 = 4 minutes
how long before cars2 overtakes car 1?
Click here to see answer by checkley77(12569)

Question 137397: Any help on this problem would be greatly appreciated! Thank you in advance!
An air rescue plane averages 300 miles per hour in still air. It carries enough fuel for 5 hours of flying time. If, upon takeoff, it encounters a wind of 30 miles per hour, how far can it fly and return safely? ( assume that the wind remains constant).
Thanks to anyone who can provide help on this one!
Click here to see answer by dolly(163)

Question 137427: Two scientists leave a university in seperate vans at the same time. The first scientist travels east at 20 mph and the second scientist travels west at 25 mph. If there radios have a range of 90 miles, how long before they lose radio contact?
Click here to see answer by ptaylor(2048)

Question 137425: how many furlong per fortnite equals 50 miles per hour
Click here to see answer by ankor@dixie-net.com(15645)

Question 137608: 1. With a tail wind, a jet flew 2400 miles an hour, but it required 6 hours for the return trip against the wind, Find the airspeed fo the plane and the wind speed.
please help me with this question im very confused and don't understand how to solve it.
thank you!
Click here to see answer by checkley77(12569)

Question 137676: John and Mike have been friends since school but havent seen eachother in many years, so they agree to meet on saturday. John leaves his house at 10:00 am and drives east at 50 miles per hour. Mike leaves his house at the same time and drives west at 45 miles per hour. if their houses are connected by a straight highway running east-west (no stoplight or towns in the way) and are 350 miles apart. How far from johns house will they meet?. at what time will they meet?
Click here to see answer by ptaylor(2048)

Question 137672: the tugboat moves at a rate of 10mph in still water. it travels 24 mi upstream and 24 mi downstream in a total time of 5 hr. what is the speed of the current?
Click here to see answer by ptaylor(2048)

Question 137735: Brent can paint a room in 6 hr. Working together with Bonnie, they can paint a room in 3 hr. How long would it take Bonnie paint the room by herself? How do I set this equation up to solve?
Click here to see answer by stanbon(57282)

Question 137639: On a round trip of 700km in each direction,Mr.anderson averaged 7km/h more returning than he did going.If the return trip took 5hours less than the trip going, find the time he spent traveling in each direction
Click here to see answer by ankor@dixie-net.com(15645)

Question 137894: Please help me solve this proplem: Centralia is 5 miles east and 7 miles south of Hapsburg. About how far apart are the two towns?
Click here to see answer by checkley77(12569)

Question 138275: In a 1-mile race, the winner crosses the finish line 12 ft ahead of the second-place runner and 22 ft ahead of the third-place runner. Assuming that each runner maintains a constant speed throughout the race, by how many feet does the second-place runner beat the third-place runner? (5280 ft in a mile)
Click here to see answer by ankor@dixie-net.com(15645)

Question 138362: Linda drove from Philadelphia to NYC at the rate of 50 miles per hour. She made the trip from NYC to Philadelphia along the same route, traveling 40 miles per our. Her total driving time was 3.6 hours , find the distance between Philadelphia, and NYC
Click here to see answer by stanbon(57282)

Question 138377: a boat travels 100 miles downstream in the same length of time it travels upstream. if the boats speed in still water is 30 mph, find the speed of the current river.
Click here to see answer by stanbon(57282)

Question 138389: The moon has a surface of approximately 14,650,000 mi2? Estimate its radius to the nearest mile. My textbook ISBN is: 0-13-180915-6. Practice 11-1.
Click here to see answer by checkley77(12569)

Question 138405: A bathtub can be filled in 20 minutes with both faucets running. If the cold water faucet runs twice as fast as the hot water, how long would it take the cold water faucet to fill the tub itself?
Click here to see answer by scott8148(6628)

Question 138563: This a variation of time problem. The alarms on 3 clocks go off at 8 min, 10 mins, and 12 mins, respectively. If they all go off at 3pm, at what time of the day will all 3 clock alarms go off simultaneously? Thanks
Click here to see answer by ankor@dixie-net.com(15645)

Question 138676: Amanda travels to her aunts house at 90 kph and returns the next day at 60 kph.
If the round trip took 7 hours, how far is it from Amanda's house to the aunt's house?
Click here to see answer by stanbon(57282)

Question 138837: Debbie traveled by boat 5 miles upstream to fish in her favorite spot. Because of the 4-mph current, it took her 40 minutes longer to get there than to return. How fast will her boat go in still water?
Click here to see answer by ankor@dixie-net.com(15645)

Question 138852: A boat travels 100 miles downstream in the same length of time it travels 50 miles upstream. if the boat's speed in still water is 30 mph, find the speed of the current river.
Click here to see answer by ankor@dixie-net.com(15645)

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