# Building a Wall

Pro Problems > Math > Algebra > Equations > Word Problems > Linear > Rate and Time## Building a Wall

If Jameson can build a 20 foot wall in 6 hours, and Jaqueline can build a 50 foot wall in 12 hours, and the two of them work together to build a 180 foot wall (with each of them starting at opposite ends of the wall), how much wall will each build before the wall is complete?

## 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.## Similar Problems

### 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?

### 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?

### 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?

### 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### 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?

### 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?

### 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?