Question

Carrington used 3/4 of the 1/2 of an hour allotted for an exam to do the first 3 problems. How much time does he have left for the remaining part of the exam?

Answer 1

Answer:
`(1)/(8)~\textup{hour}` left for the remaining part of the exam.

Step-by-step explanation: Given that Carrington used
`(3)/(4)` of the
`(1)/(2)` of an hour allotted for an exam to do the first 3 problems.

We are to calculate the time that he has left for the remaining part of the exam.

We have

Total time used i the first three problems is given by

`(3)/(4)* (1)/(2)=(3)/(8)~\textup{hour}.`

Therefore, the time left to complete the remaining part of the exam will be

`T_r=(1)/(2)-(3)/(8)=(4-3)/(8)=(1)/(8)~\textup{hour}.`

Thus,
`(1)/(8)~\textup{hour}` left for the remaining part of the exam.