Question

a car travels 1/2 of the distance between two cities in 3/5 of an hour .at this rate what fraction of the distance between the two cities can the car travel in 1 hour

Answer 1

By proportion this is  1/2 *  1 / 3/5  = 1/2 * 5/3 =  5/6 of the distance.

Answer 2

Remark
The easiest way to do this is to set up a proportion. But be careful how you do it.

Call the distance d
1/2 d / 3/5 hour = x * d / 1 hour

Divide both sides by d
1/2 // 3/5 = x / 1 Cross multiply
1/2 * 1 = 3/5 x divide by 3/5

`( (1)/(2) )/( (3)/(5) )`

Invert the bottom fraction and multiply.

`(1)/(2) * (5)/(3) = (5)/(6)`
The answer is 5/6 of the distance will be covered in 1 hour.