Question

A clock, which loses uniformly is 15 minutes fast at 9 am on 3rd of the December and is 25 minutes less than the correct time at 3 pm on 6th of the same month. At what time it was correct?
(a) 2.15 am on 3rd
(b) 2.15 pm on 4th
(c) 2.15 pm on 3rd
(d) 2.15 am on 4th​

Answer 1

(b) 2.15pm on 4th is the right answer

Answer 2

The correct time is (b) 2.15 pm on the 4th.

Given: A clock, which loses uniformly is 15 minutes fast at 9 am on 3rd of the December and is 25 minutes less than the correct time at 3 pm on 6th of the same month.

To Find: At what time it was correct

Solution:

The clock loses 15 mins uniformly from 9 am on 3rd December to 3 pm on 6th December = 3 days + 6 hours = 78 hours

The clock losses in 78 hours = 15 + 25 = 40 minutes

Therefore, the clock losses 15 minutes = 15/40× 78 = 29 hours and 15 minutes.

Therefore, the clock is correct after 29 hours and 15 minutes from 9 am on 23rd December which is 2:15 pm on 4th December.

Hence, the correct time is (b) 2.15 pm on 4th

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