# City A to City B

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

## 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

### 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?

### 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?

### Daylight Savings Time

A clock adjusts its timing each night by contacting a satellite at 2:00 AM to find out the official standard time. Since it has a mechanical action with physical minute, second and hour hands, if the clock finds out it is out of sync, it will move at 12 times normal speed in order to "catch up" with the actual time. (If it is ahead of the correct time, it will still move forward, until it wraps around to the correct time.)

In the fall, when Daylight Savings Time happens, at 2:00 the satellite tells the clock that it is actually 1:00. Thus, the clock has to move forward at high speed until it wraps around to the correct time.

How long will it take the clock to be displaying the correct time again?

### 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?

### 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?

### 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?

### 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.

### A Boy and a Half

A boy and a half can eat a cookie and a half in a minute and a half. How long, in seconds, would it take 5 boys to eat 8 cookies?