# Owen and the Books

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

## 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

### 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.

### 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### 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?

### 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?

### 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?

### 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?

### 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?

### Monkey in the Middle

Geoge the Monkey can run at a speed of 12 mph. Hazel can walk at a rate of 4 mph, and Henrietta can walk at a rate of 2 mph.

George is standing halfway between Hazel and Henrietta, who are 1,320 feet apart, and begin walking toward each other.

At the moment they begin walking, George begins running toward Hazel. When he reaches her, he turns around and runs to Henrietta. Upon reaching her, he turns around again, and continues on like this, until the two girls meet, and he is sandwiched between them.

How far did George run?

### 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?