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

Tutors Answer Your Questions about Travel Word Problems (FREE)

Question 99497: Help! PLEASE! I can't seem to figure these out!

1. One number is 6 more than another number. The sum of the sumbers is one more than 3 times their difference. What are the numbers?
2. In a small rowboat, it took Alice 6 hours to go 6 miles upstream, but she was able to return to her starting point in only 45 minutes. Assuming her rowing speed was constant, what was the speed of the current?
Click here to see answer by stanbon(57219)

Question 99513: Could you please help me with this word problem.
Science and medicine. Alkaid, the most distant star in the Big Dipper, is
2.1 X 10^18 m from the Earth. Approximately how long does it take light to travel from Alkaid to the Earth?
Thank you
Click here to see answer by scott8148(6628)

Question 99506: Goldie goldfish loves to race the parks pond, which is 0.5 miles around. If she can swim 20 laps around the track in 2 hours, what is her average speed
Click here to see answer by doukungfoo(195)

Question 99579: A passanger train going 50 miles per hour meets and passes another passanger train which is traveling in the opposite direction at exactly the same speed. A young woman riding in the train looks out the window, and notes that it takes 5 seconds for the train to pass by hers.
How long is the other train?
Click here to see answer by ankor@dixie-net.com(15624)

Question 99688: Can a particular equation represent the relationship between variables in two different word problems?
For example,
Can you explain how certain distance-rate-time problems are similar to some simple-interest problems?

Click here to see answer by checkley71(8403)

Question 99812: From the McDougal Littell Math, Course 3 Chapter 1
Gridded Answer: Two trucks leave a warehouse at approximately the same time and travel the same route. How far apart are the trucks after 4 1/2 hours if the average speed of the trucks are 52 miles per hour and 56 miles per hour?
Click here to see answer by doukungfoo(195)

Question 99813: A woman drove part of a 185 mi trip at 50 mi/h and the rest at 55 mi/h. Find the distance she traveled at 50 mi/h if her total driving time was 3h and 30 min.
Click here to see answer by fastblue(13)

Question 99946: Can someone help me understand how to answer this problem. I think the answer is 50.4 miles.
A cyclist traveled at a rate of 24 mph to visit a nearby town. The cyclist averaged 18 mph on the return trip. If the round trip took 4.9 hours, find the distance to the nearby town.
Click here to see answer by checkley71(8403)

Question 99937: In a 16 km cross country ski race Brett skied the first 7 km at a constant speed and then increased his speed by 3 km/h for the last 9 km. If he finished the entire race in 1 hr. 20 min., what was his speed for the first 7 km?
PLEASE PROVIDE DETAILS ON HOW TO SOLVE AS I NEED TO LEARN!
THANKS,
Lynne
Click here to see answer by edjones(7569)

Question 99807: A boy who is 4 feet 5 inches tall stands near a street light that is 15 feet tall. Find a function that models the length L (in feet) of his shadow in terms of his distance d feet from the base of the street light
Click here to see answer by scott8148(6628)

Question 99836: Maria and Jan are running around an indoor track. They leave from the same point but jog in different directions at different constant speeds. Maria can run around the entire track in 40 seconds. She meets Jan every 15 seconds. How long does it take Jan to run arount the entire track ?
Click here to see answer by ptaylor(2048)

Question 100091: Fred begins walking toward John's house at 3mi/hr. John leaves his house at the same time and walks toward Fred's house on the same path at a rate of 2mi/hr. How long will it before they meet if the distance between the houses is 4 miles?
Click here to see answer by ptaylor(2048)

Question 100093: A train leaves the station at 6:00pm traveling west at 80mi/hr on a parallel track, a second train leaves the station 3 hrs later traveling west at 100mi/hr. At what time will the second train catch up with the first?
Click here to see answer by ptaylor(2048)

Question 100114: Two planes leave an airport at noon, one flying east at a certain speed and the other flying west at twice that speed. If the planes are 2700 miles apart in 3 hours, what is the speed of each plane?
I tried the equation 3(2r)+3r=2700 but it didn't seem to work out very well for me.Please help me.
Thank you =]
Click here to see answer by scott8148(6628)

Question 100080: Radio signals travel at a rate of 3.0x10^8 meters per second. How many seconds will it take for a radio signals to travel from a satellite to the surface of the Earth if the satellite is orbiting at a height of 1.38x10^8?
So far i have tried converting the distance formula so that you can work out the time, so t=d/v, but then I don't know how to proceed from there. THank you for your help!
Click here to see answer by ankor@dixie-net.com(15624)

Question 100079: Montrose and Salem are 10 miles apart. Karen lives 12 miles from Salem. What are the possible distances Karen lives from Montrose?
Click here to see answer by Edwin McCravy(8879)

Question 100258: An airplane flies 1000 miles due east in 2 hours and 1000 miles due south in 3 hours. What is the average speed of the airplane?
Click here to see answer by bucky(2189)

Question 100273: Susan and Dave take a trip to Danford Island. They walk to the dock at 3 mph then get on the ferry that travels at 6 mph. The total distance is 24 miles and it takes 5 and three quarters hours to arrive. How far do they travel by ferry?
3x + 6y = 24 miles
x + y = 5.75 hours
Click here to see answer by edjones(7569)

Question 100290: Lois rode her bike to visit a friend. She traveled at 10 mi/hr. While she was there, it began to rain. Her friend drove her home in a car traveling at 25 mi/hr. Lois took 1.5 hr longer to go to her friend's than to return home. How many hours did it take Lois to ride to her friend's house? Need assistance in writing an equation as well as solving the problem. Thanks in advance from a confused parent!
Click here to see answer by ptaylor(2048)

Question 100604: At 3:10P.M. a skydiver jumps from an airplane at an altitude of 15,000 feet. At 3:10:26 at an altitude of 4200, the skydiver opens the parachute. What was the skydiver's average speed during the 26-second free-fall?
Click here to see answer by doukungfoo(195)

Question 100603: The heigh, b, that a basketball will bounce on a hardwood floor varies with the height,h, from which the ball is dropped. A basketball dropped from 5 feet will bounce 2.8 feet. Write an equation that relates b to h.
Click here to see answer by TP(29)

Question 100322: Please help me to solve this problem:
A man in a rowboat rows 2 kilometres upstream when at this point a sudden wind blows his hat into the river. He ignores this slight inconvenience and continues to row upstream for another 15 minutes(1/4 hr)
At this point he turns around and paddles downstream at the same rate he had paddled upstream. Upon reaching the point where he entered the river he noticed he had caught up with his hat. From all of this dilemma the question is, "At what rate is the river flowing'?
Thank you.
Click here to see answer by ankor@dixie-net.com(15624)

Question 100770: On Wednesday, Roman drove to work in 45 minutes. On Thursday he averaged 12miles per hour more, and it took him 9 minutes less to get to work. Hoew far does he travel to work?
Click here to see answer by ptaylor(2048)

Question 100961: Please help....
May rides her bike the same distance Leah walks. May rides her bike 10km/h faster than Leah walks. If it takes May 1 h and Leah 3h to travel that distance, how fast does each travel?
Click here to see answer by Nate(3500)

Question 100967: The length of a rectangle is 4 in. greater than the width. The perimeter of the rectangle is 24 in. Find the dimensions of the rectangle.
Click here to see answer by doukungfoo(195)

Question 101010: It takes 1 hour longer to fly to St. Paulat 200mi/h than it does to return at 250 mi/h. How far away is St. Paul?
Click here to see answer by Edwin McCravy(8879)

Question 100965: Each of the two congruent sides of an isosceles traingle is 8 in. less than twice the base. The perimter of the triangle is 74 in. What is the length of the base?
Click here to see answer by doukungfoo(195)

Question 100783: A train leaves the station at 6:00 P.M. traveling west at 80 mi/h. On a parallel track, a second train leaves the station 3 hours later traveling west a 100 mi/h. At what time will the second train catch up with the first?
A passenger train's speed is 60 mi/h, and a freight train's speed is 40 mi/h. The passenger train travels the same distance in 1.5 h less time than the freight train. How long does each train take to make the trip?
Click here to see answer by ankor@dixie-net.com(15624)

Question 101201: 2 passenger trains are traveling on the same track heading in opposite directions. the trains are currently 170 miles apart. the first train is going 9mph and the second train is going 8mph. in how many hours will these 2 trains meet and how far does each train travel?
Click here to see answer by Nate(3500)

Question 101250: An airplane is headed N 65 degrees E with an air speed of 500 miles per hour. A tail wind is blowing in the direction of N 35 degrees E at 80 miles per hour. Find the actual speed and direction of the airplane. Round off answers to one decimal.
Click here to see answer by stanbon(57219)

Question 101286: On Friday morning Ricardo drove from his house to the beach in 4 hours. In coming back on Sunday afternoon, heavy traffic slowed his speed by 7 mi/h and the trip took 5 hours. What was his average speed (rate) in each direction?
Click here to see answer by ankor@dixie-net.com(15624)

Question 101608: One car travels 50 miles per hour and another one travels 55 miles per hour. If they start from the same place at the same time and travel in the same direction, after how many hours will the faster car be 35 miles ahed of the slower car?
Click here to see answer by ptaylor(2048)

Question 101734: can you please help me figure out how to solve this problem? Pablo is driving 40 miles per hour.after he has driven 30 miles,his brother ricardo starts driving in the same direction. at what rate must ricardo drive to catch up with pablo in 5 hours?
Click here to see answer by scott8148(6628)

Question 101785: Can't get equasion, but really need it. Problem is:
the Petersons drove to a friends house at 80 km/h. On the return trip, rain reduced their speed 10 km/h. If their total driving time was three hours, find the total distance driven.
thankx.
Click here to see answer by stanbon(57219)

Question 101782: ok, i'm a little stuck finding the equasion. the problem is:
At 1:00 P.M. Sue left her house and began walking at 6 km/h toward Sandy's house. Fifteen minetes later, Sandy left her home and walked at 8 km/h toward Sue's house. If Sue lives 5 km from Sandy, at what tme did they meet? Who walked farther?
thanks.

Click here to see answer by stanbon(57219)

Question 101800: A family drove to a beach resort at an average speed of 55 mph and later returned over a road at an average speed of 65 mph. Find the distance to the resort if the total driving time was 12 hours.
I only got as far as this, and not sure if I set it up right.
55(t-12)= 65t
55 t-780= 65t
780=715t
Click here to see answer by alisttutors(8)

Question 101553: A bicyclist rode into the country for 5 hours, in returning her speed was 5 miles/a hour and the trip took 4 hours. what was her speed each way?
Click here to see answer by ankor@dixie-net.com(15624)

Question 101812: The distance traveled by a ball rolling down a ramp is given by s(t)=3.5t^2, where t is the time in seconds after the ball is released, and s(t) is measured in feet. find the average velocity of the ball on the interval from t=1.0 seconds to t=1.5 seconds. thanks so much!!!
Click here to see answer by scott8148(6628)

Question 102131: may rides her bike the same distance that Leah walks. may rides her bike 10 km/h faster than Leah walks. If it takes May 1 h and Leah 3 h to travel that distance, how fast does each travel?
Click here to see answer by checkley75(3666)

Question 102159: The local train heading for Westford at 60km/h and the express train heading for Eastford at 80km/h pass each other at Centerville while heading in opposite directions along a straight roadbed. Westford and Eastford are 195 km apart, and if the local train makes one 15 minute stop after passing Centerville the express completes its run before the local does. What is the maximum distance to the nearest kilometer between Westford and Centerville.
Click here to see answer by stanbon(57219)

Question 102163: Please help me solve this:
The Smith family drove to the state park at 60 miles per hour and returned on the same route at 50 miles per hour. Find the distance to the state park if the total driving time was 8.8 hours.
Click here to see answer by stanbon(57219)

Question 102118: A driver sets out on a journey. For the first half of the distance, she travels at 30 miles per hour. For the second half of the distance, she travels at 60 miles per hour. What is her average speed on this trip?
I know that speed=distance/time
so, 30=distance/t1 and 60=distance/t2
but i'm not sure where to go from there.
Click here to see answer by ptaylor(2048)

Question 102315: THERE IS A TRAIN TRAVELING AT 50 MILES AN HOUR HEADING EAST.. THE WINDS ARE 12 MILES AN HOUR.. HOW LONG WILL IT TAKE TO TRAVEL 100 MILES TO THE STATION..
Click here to see answer by edjones(7569)

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