Question

Amanda spent 2/5 of her time after school doing homework and ¼ of her remaining time riding her bike. If she rode her bike for 45 minutes in a week, how much time did she devote to homework in the same week?

Answer 1

Answer:120 min

Step-by-step explanation:

Given

Amanda spent
`(2)/(5)` of her time after school doing Home work

And
`(1)/(4)` of her remaining time riding her bike

It is given that she rode her bike for 45 minutes in a week

Let t be the time after school

therefore Amanda spend
`(2t)/(5)` in home work and
`(3t)/(5)` time is left

From remaining
`(3t)/(5)` time she spends
`(1)/(4)` time riding her bike

therefore
`(3t)/(5)* (1)/(4)=45`

thus
`t=300 min`

therefore time spent on home work is
`(2)/(5)* 300=120 min`