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A watch which gains uniformly is 6 minutes slow at 4 pm on a Sunday and 102/3 minutes fast on the following Sunday at 8 pm. During this period (Day and Time) when was the watch correct?
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- 2 : 36 am
- 1 : 36 am
- 2 : 36 pm
- 1 : 36 pm
Correct Option: B
According to question , we know that
Total time in hours from Sunday at 4 pm to the following Sunday at 8 am. = [ ( 6 × 24 ) + 16 ] = 160 hours
Thus, the watch gains | 6 + 10 | 2 | = 16 | 2 | minutes in 160 hours |
3 | 3 |
Now , | 50 | minutes are gained in 160 hours |
3 |
∴ | 1 minutes are gained in 160 × | 3 |
50 |
⇒ | 6 minutes are gained in 160 × | 3 | × 6 |
50 |
Required answer = | 288 | hours = 57 | 3 | hours. |
5 | 5 |