Question

A watch, which gains uniformly, is 2 min, slow
at noon on Sunday, and is 4 min 48 seconds
fast at 2 PM on the following Sunday.

When
was it correct ?


(1) 2 : 00 PM on Tuesday


(2) 12 Noon on Monday


(3) 2 : 00 AM on Tuesday


(4) None of these

Answer 1

(1) 2:00 PM on Tuesday
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A watch gains uniformly is 2 min slow at 12:00 on Sunday.

On following sunday it is 4 min 48 sec fast on 2 PM

Total time between 12 AM and 2 PM on another sunday
= (24×7) + 2 hours
= 170 hour

Time gained = 4 min 48 sec + 2 min
= 6 min 48 sec
= 408 sec

The clock will show correct time only when it gains 2 min ;

408 sec ----> in 170 hour
120 sec ---> in x hour

408/170 = 120/x

x = 50 hours

= 2 days 2 hours for noon on the sunday

= 2 PM on Tuesday
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Answer 2

Step-by-step explanation:

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Option ( 1) 2 pm Thursday