Games
Problems
Go Pro!

A Long Walk

Pro Problems > Math > Algebra > Equations > Word Problems > Linear > Rate and Time
 

A Long Walk

Marco walks a certain distance at a certain speed (measured in miles per hour), and then returns over the same distance at a speed one mph less than his original walking speed. He took a total of 35 hours. If, instead of slowing down for his return journey, he had sped up by one mph, his journey would have taken 27 hours. How far did he walk?

Presentation mode
Problem by Mr. H

Solution

In order to make it feasible for teachers to use these problems in their classwork, no solutions are publicly visible, so students cannot simply look up the answers. If you would like to view the solutions to these problems, you must have a Virtual Classroom subscription.
Assign this problem
Click here to assign this problem to your students.

Similar Problems

City A to City B

A car can travel from city A to city B in 8 hours. If its speed during the return journey was decreased by 7 mph, it would take 9 hours to get back to city A. How far apart are the two cities?

Mowing Lawns

Greg can mow a lawn in 4 hours. Rudy can mow a lawn in 3 hours. If they work together, how many hours will it take them to mow 14 lawns?

Waiting for Christmas

My son said, "Daddy, I can't wait for Christmas. How long is it until Christmas?"

I told him, "The number of days left until Christmas is 30 more than the number of weeks until Christmas."

What day is it?

 

Arrival Time

Two trains are traveling from Washington DC to Bangor, ME. The first train leaves Washington DC and travels to Boston, MA (430 miles) and has a two hour stop before continuing on to Bangor (250 miles).

The second train leaves Washington DC one and a half hour later than the first train. It travels by way of Albany, NY (338 miles) and then continues directly on to Bangor (400 miles).

If the first train travels at 34 mph, how fast does the second train have to travel to reach Bangor at the same time as the first train?

Birds of a Feather

Three birds are named Billie, Millie, and Willie. Billie flies twice as fast as Millie, who flies a third as fast as Willie. If Billie and Millie have a race, and Willie arrives at the finish when Billie has 12 miles more to travel, what was the race distance?

Maria and Fido

Maria walks 20 miles from city A to city B. Her dog, Fido, starts at city B and runs to meet her. Fido meets her after she has walked a third of the way from A to B. Then Fido runs back to city B, then turns around again and runs back to Maria. The dog continues doing this until they are both at city B. How far did Fido run? 

Owen and the Books

Owen can read a 100 page book, which had 500 words per page. It took him 2 hours less time than it takes him to read a 150 page book with 600 words per page. How long would it take him to read a 400 page book which had 400 words per page?

Sam and Sandy Race

Sam can run 300 yards, 120 feet and 10 inches in the same time that Sandy can run 200 yards, 10 feet, and 30 inches. If the two of them run a 100 meter dash, by how many meters will Sam beat Sandy?

Jack and Jane

Jack can mow a lawn in 6 hours, and Jane can mow it in 4 hours. If they work together, how long will it take them to mow the lawn? Give your answer in minutes.

Fast Reader

I have four books, each with n pages, and I can read them all in four hours.

I have four more books, each with each 120 fewer pages than my original four books. I can read them all in three hours.

I have five more books, each with 120 more pages than my original four books. How long would it take me to read all five books?

Daylight Savings Time, Traveling to the City, Cars and Units, Building a Wall, Auburn to Bangor, Lawnmower Race, Monkey in the Middle, Average Speed, A Boy and a Half, Three Racers

Blogs on This Site

Reviews and book lists - books we love!
The site administrator fields questions from visitors.
Like us on Facebook to get updates about new resources
Home
Pro Membership
About
Privacy