Question

38)

A math teacher wants to make a test containing 50 easy questions and 20 hard questions. Each easy question is allowed 30
seconds and each hard question is allowed 1 minute 30 seconds to complete. How many minutes should the teacher allow for the
whole test?

Answer 1

Maximum time the teacher should allow for the whole test should be = 55 minutes

Explanation:

Number of easy questions in the test = 50

Number of hard questions in the test = 20

Time for each easy question = 30 seconds =
`30\ sec*(1\ min)/(60 sec)=0.5\ min`

[As 1 minute = 60 seconds]

Time for each hard question = 1 minute 30 seconds =
`1\ min+(30\ sec*(1\ min)/(60 sec))=1\ min+0.5\ min=1.5\ min`

Using unitary method to find duration of whole test.

If 1 easy question takes = 0.5 minutes

Then, 50 easy questions will take =
`50* 0.5\ min` = 25 minutes

If 1 hard question takes = 1.5 minutes

Then, 20 hard questions will take =
`20* 1.5\ min` = 30 minutes

Total time for the test will be =
`25\ min+30\ min` = 55 minutes