# Lawnmower Race

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

## 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

### 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?

### 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?

### 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?

### 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?

### 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?

### 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?

### 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?

### 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?