Two clocks are set correctly at 9 a.m. on Monday. Both the clocks gain 3 minutes and 5 minutes respectively in an hour. What time will the second clock register if the first clock which gains 3 minutes in an hour shows the time as 27 minutes past 6 p.m. on the same day ?

Options

A. 6.27 p.m
B. 6.45 p.m
C. 6.25 p.m
D. 6.50 p.m

Answer

B

Explanation

According to the question

First clock gains = 3 minutes per hour
Second clock gains = 5 minutes per hour
So, the difference in minutes between these two clocks in one hour = (5 - 3) minutes = 2 minutes.
Total time from 9 p.m to 6 p.m on Monday = 9 hours.
So, the first clock gains in 9 hours = `(9 times 3)` minutes.
`" "` = 27 minutes and shows the times as 6.27 p.m.
Therefore, second clock gains in 9 hours `=(9 times 5)` minutes
= 45 minutes and show the time as 6.45 p.m.