Question

A test requires two hours to attend five questions if a candidate spent 80 minutes on the first two question what fraction of the time did he spend on the remaining three question​

Answer 1

He spent ⅓ of the time on the remaining three questions.

Explanation:

Let's first figure out what the question gives us, and what we need to find.

Given:

Test - 2 hours, 5 questions

Candidate - 80 minutes, 2 questions

Find:

Fraction of time he spent on remaining three questions

Start by finding the fraction of time that he spent on the first two questions.

Set up an unit converter to convert two hours to minutes.

`2$ hours($\frac{60\text{ minutes}}{1 \text{ hour}})=2\cdot 60\text{ minutes}=120$ minutes`

Let "x" represent the fraction of time the candidate spent on the first two questions...

`x=\frac{\text{Amount of Time spent on First Two Questions}}{\text{Total Time}}\\x=\frac{80\text{ minutes}}{120\text{ minutes}}`

`x=(80)/(120)`

`x=(8)/(12)`

`x=(2)/(3)`

Let "y" represent the fraction of time the candidate spent on the remaining three questions...

`y=1-\text{Fraction of Time spent on First Two Questions}\\y=1-(2)/(3)\\`

`y=(3)/(3)-(2)/(3)\\`

`y=(1)/(3)`

He spent ⅓ of the time on the remaining three questions.