Question

One watch is 1 minute slow at 1 pm on Tuesday and 2 minutes fast at 1 am on Friday. When did it show that correct time?

(1) 5:00 am on Wednesday
(2) 5:00 pm on Wednesday
(3) 9:00 am on Wednesday
(4) 9:00 pm on Wednesday

Answer 1

(3) 9:00am Wednesday

Explanation:

The correct time will be shown when the watch has gained 1 minute.
We are told that the watch gains 3 minutes between 1pm Tuesday and 1am Friday.

First let's convert the time duration to minutes.

1pm Tuesday to 1pm Thursday is 2 full days `= 2*24`hr

1pm Thursday to 1am Friday is 12hr

Total time `= 48+12 = 60hr = 60*60 = 3600 min`

So the watch gains `3min "per " 3600 min`

But we only want 1 min gain for the watch time to be correct.

This will happen after `3600/3= 1200min`

Let's convert this back to hours and minutes so we can add it to the start time, to find the time that the watch shows the correct time.

`(1200min)/(60min/(hr)) = 20 hr`

1pm Tues `+ 20hr = (`1pm Wed `- 4hr) = 9`am Wednesday