Question

It takes Hayden 1 1/2 minutes t complete each level of his video game. If he plays for 10 1/4 minutes, how many levels will he complete?

Answer 1

Given:

Hayden
`1(1)/(2)` minutes to complete each level of his video game.

He plays for
`10(1)/(4)` minutes.

To find:

The number of levels he will complete.

Solution:

We have,

Required time for each level =
`1(1)/(2)`

Total time =
`10(1)/(4)`

The number of level is

`n=\frac{\text{Total time}}{\text{Required time for each level}}`

`n=(10(1)/(4))/(1(1)/(2))`

`n=((10(4)+1)/(4))/((1(2)+1)/(2))`

`n=((41)/(4))/((3)/(2))`

On further simplification, we get

`n=(41)/(4)* (2)/(3)`

`n=(41)/(6)`

`n=6.8333...`

Number of levels must be a whole number. So, approx to value to the preceding whole number.

`n\approx 6`

Therefore, Hayden will complete 6 levels if he plays for
`10(1)/(4)` minutes.