Answer:
Maximum time the teacher should allow for the whole test should be = 55 minutes
Step-by-step explanation:
Number of easy questions in the test = 50
Number of hard questions in the test = 20
Time for each easy question = 30 seconds = [tex]30\ sec\times\frac{1\ min}{60 sec}=0.5\ min[/tex]
[As 1 minute = 60 seconds]
Time for each hard question = 1 minute 30 seconds = [tex]1\ min+(30\ sec\times\frac{1\ min}{60 sec})=1\ min+0.5\ min=1.5\ min[/tex]
Using unitary method to find duration of whole test.
If 1 easy question takes = 0.5 minutes
Then, 50 easy questions will take = [tex]50\times 0.5\ min[/tex] = 25 minutes
If 1 hard question takes = 1.5 minutes
Then, 20 hard questions will take = [tex]20\times 1.5\ min[/tex] = 30 minutes
Total time for the test will be = [tex]25\ min+30\ min[/tex] = 55 minutes
