Question

Nilesh studied from quarter to 5 to quarter past 6. Naina studied from quarter past 5 to quarter past 6. Who studied more? Justify your answer.

Answer 1

Hint: To do this type of question we first convert the given time into standard time then we proceed to find the time difference when the individual started studying and the time when he ended it, this gives the total time gap. And then we compare the time difference of both to get who studied more.

Complete step-by-step answer:

We are given that Nilesh started studying at quarter to 5 and ended at quarter past 6.

First of all, we need to determine what is quarter to 5 in terms of standard time range (AM or PM), after this we will try to determine till how long he studied.

Now Nilesh started studying at quarter to 5, that is 4:45 and ended studying at quarter past 6, that is, 6:15.

We now calculate the time gap between 4:45 and 6:15.
This can be done by taking the difference of time between 4:45 and 6:15.

We get that the total time spent by Nilesh is the time when he started studying subtracted from the time when he ended it.
Hence, the total time spent by Nilesh is 6:15 – 4:45, which is 1h30min.

Therefore, the total time spend by Nilesh is 1h30min………(i)

Now we do similar calculations to calculate the time gap for Naina.

Naina started studying at quarter 5 past 5 and ended it at quarter past 6.
Converting 5:15 to standard time we have 5:15 and converting quarter past 6 to standard time we have 6:15.

The difference in time gives the amount of time she used in studying, so calculating the difference between 6:15 and 5:15.
This difference is equal to one hour.

Therefore, the total time spent by Naina in studying is one hour……(ii)

From (i) and (ii) we have Nilesh studied more because he spends more time studying.

Note: The possibility of error in this question can be not converting quarter to 5 or quarter past 6 into standard time and proceeding which gives the wrong result while we calculate the difference of the time. So always opt to first convert the time and then find the difference.