Owen and the Books
Pro Problems > Math > Algebra > Equations > Word Problems > Linear > Rate and TimeOwen 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
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?
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?
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?
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?
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?
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?
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.
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?
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?
A Long Walk
Marco walks a certain distance at a certain speed (measured in miles per hour), and then returns over the same distance at a speed one mph less than his original walking speed. He took a total of 35 hours. If, instead of slowing down for his return journey, he had sped up by one mph, his journey would have taken 27 hours. How far did he walk?