Games
Problems
Go Pro!

Auburn to Bangor

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

Auburn to Bangor

A car travels from Auburn to Bangor, passing through Augusta and then Waterville along the way. The distance from Auburn to Augusta is one third the distance from Auburn to Bangor. The distance from Augusta to Waterville is
3
5
the distance from Auburn to Augusta. The distance from Waterville to Bangor is 49 miles. How long was the total trip?

Presentation mode
Problem by Mr. Twitchell

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

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?

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? 

Lawnmower Race

Samwise can mow 5 lawns in 9 hours, and Frodo can mow 1 lawn in 4 hours. Samwise, Frodo, and Bilbo, working together, can mow 20 lawns in 18 hours. How many minutes does it take Bilbo to mow 3 lawns?

Average Speed

John drove at 20 mph for 30 minutes, and then he drove back home at 10 mph. What was his average speed for the entire trip?

Three Racers

Jill runs three as fast as Jack. Henry runs five times as fast as Jack. All three children run a 100 meter dash. When the race is over, how far behind Jill is Jack?

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?

 

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.

Traveling to the City

A car travels from city A to city B in 12 hours. It then travels from city B to city C at the same speed, in 8 hours. If the car was traveling 5 mph faster, it would have traveled from city A to city B in 10 hours.  What is the distance from city B to city C?

Cars and Units

A car which travels at 30 ft/s travels from City A to City B, then to City C, and finally to City D. The distance from A to B is 22 miles.  It takes 2 hours to get from B to C. The distance from C to D is the average of the distances from A to B and B to C. How many minutes did the journey take?

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?

Monkey in the Middle, Sam and Sandy Race, Mowing Lawns, Building a Wall, City A to City B, A Long Walk, Daylight Savings Time, Fast Reader, Arrival Time, A Boy and a Half

Understanding Coronavirus Spread

A Question and Answer session with Professor Puzzler about the math behind infection spread.

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