- A town`s old street sweeper (#990)
A town's old street sweeper can clean the streets in 60 h. The old sweeper together with a new sweeper can clean the streets in 15 ...
fractional equations, equations, work rate, rate
- An intake pipe can fill a certain tank (#448)
An intake pipe can fill a certain tank in 6 hours when the outlet pipe is closed, but with the outlet pipe open it takes 9 ...
fractional equations, equations
- Cary spent 1/3 of his time working on fractions (#1595)
Cary spent 1/3 of his time working on fractions and 3/6 of his time working on algebra. He spent the last 10 minutes of his class reading a chapter in his ...
equations, fractional equations
- Diophantus was a famous Greek mathematician (#1045)
Diophantus was a famous Greek mathematician who lived and worked in Alexandria, Egypt, probably in the third century A.D. After he died, someone described his life in this puzzle:
He was a boy for 1/6 of his life.
After 1/12 more, he acquired a beard.
After another 1/7, he married.
In the fifth year after his marriage his son was born.
The son lived half as many years as his father.
Diophantus died 4 years after his ...
fractional equations, equations
- Jill ran up the hill (#1252)
Jill ran up the hill at 6 km/hr and down at 10 km/...
fractional equations, equations
- One eighth of a number (#1151)
One eighth of a number is ten less than one fifth of the ...
fractional equations, equations
- The numerator of a fraction (#2418)
The numerator of a fraction is 19 less than the denominator. If the value of the fraction is 3/8...
fractional equations, equations
- The sum of 2 numbers (#2654)
The sum of 2 numbers is 30, and their quotient is 2/3...
fractional equations, equations
- The sum of the reciprocals of two consecutive even integers (#2558)
The sum of the reciprocals of two consecutive even integers is 13/84...
fractional equations, equations
- The total cost of a radio and a camera (#2374)
The total cost of a radio and a camera is $1650. If the radio costs 4/7 as much as the ...
fractions, numbers, fractional equations, equations, number sense
- Tina hiked 15km up a mountain trail (#993)
Tina hiked 15km up a mountain trail. Her return trip along the same trail took 30 minutes less because she was able to increase her speed by 1km/...
fractional equations, equations
- What number must be added to both the numerator and the denominator (#2419)
What number must be added to both the numerator and the denominator of the fraction 5/11 to make the result equal 5/9?
fractional equations, equations