Question

Sarah is training for a bike race . she rides her bikes 2 1/4 miles in 1/5 hour.at this rate how many miles can she bike in 1 1/3 hours

Answer 1

Sarah covered 15 miles in
`1(1)/(3)` hours

Solution:

Given that,

Sarah rides her bikes
`2(1)/(4)` miles in
`(1)/(5)` hour

Let us first find the miles covered in 1 hour

Let "x" be the miles covered in 1 hour

From given statement,

`2(1)/(4)` miles =
`(1)/(5)` hour

x miles = 1 hour

This forms a proportion and we can solve by cross multiplying

`2(1)/(4) * 1= (1)/(5) * x\\\\(9)/(4) = (x)/(5)\\\\x = (45)/(4) = 11.25`

Thus 11.25 miles is covered in 1 hour

If she bikes for
`1(1)/(3)` hours, we have to find the miles covered

1 hour = 11.25 miles

Therefore,

`\rightarrow 11.25 * 1(1)/(3) = 11.25 * (4)/(3) = 15`

Thus Sarah covered 15 miles in
`1(1)/(3)` hours