a watch which gains uniformly is 6 min slow at 5 p.m. on monday. on the following monday at 9 am, it was 10 min 40 seconds fast. when was it correct?

get a watch which gains uniformly is 6 min slow at 5 p.m. on monday. on the following monday at 9 am, it was 10 min 40 seconds fast. when was it correct? from screen.

A watch which gains uniformly, is 5 min slow at 8 o'clock in the morning on Sunday and it is 5 min 48 sec fast at 8 p.m on following Sunday. When was it correct?

Click here👆to get an answer to your question ✍️ A watch which gains uniformly, is 5 min slow at 8 o'clock in the morning on Sunday and it is 5 min 48 sec fast at 8 p.m on following Sunday. When was it correct?

Question

A watch which gains uniformly, is 5 min  slow at 8 o'clock in the morning on Sunday and it is 5 min  48 sec  fast at 8 p.m  on following Sunday. When was it correct?

A

20 min  past 7 p.m. on Wednesday

B

15 min  past 7 p.m. on Thursday

C

29 min  past 8 p.m. on Wednesday

D

20 min  past 7 p.m. on Thursday

Medium Open in App

Updated on : 2022-09-05

Solution Verified by Toppr

Correct option is A)

Time from 8 a.m  on Sunday to 8 p.m on following Sunday = 7 days 12 hours = 180 hours

∴ The watch gains (5+5

5 4 ​ ) min  or 5 54 ​ min in 180 hrs Now 5 54 ​

min are gained in 180 hrs

∴ 5 min. are gained in (180×

54 5 ​

×5) hrs. = 83 hrs 20 min.

= 3 days 11 hrs 20 min.

∴ Watch is correct 3 days 11 hrs 20 min. after 8 a.m. of Sunday

∴ It will be correct at 20 min  past 7 p.m. on Wednesday

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Q.3. A watch which gains uniformly is 6 min slow at 5 p.m. on Monday. On the following Monday at 9 am, it was 10 min 40 seconds fast. When was it correct?

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C. 2 : 36 pm. on Thursday

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[Solved] A watch which gains uniformly is 5 minutes slow at 9 o&rsquo

In defective clock slow - fast type we use formula Time = ((S/F)/S + F)) × total time Note: In numerator we take that value whichever comes first in the

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Question

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A watch which gains uniformly is 5 minutes slow at 9 o’clock in morning on Monday and is 5 min 48 seconds fast at 9 pm on following Monday. Then when was it correct?

Thursday 8:20 Friday 8:20 Thursday 7:20 Saturday 8:20 Friday 7:20

Answer (Detailed Solution Below)

Option 1 : Thursday 8:20

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Detailed Solution

Download Solution PDF

In defective clock slow - fast type we use formula

Time = ((S/F)/S + F)) × total time

Note: In numerator we take that value whichever comes first in the question, and total time is the time which clock moves in the question.

The following Monday = Monday of the next week (7 days).

Total time = 24 × 7 = 168 hrs + 12 hrs (9 am to 9 pm).

Total time = 180 hours.

Here, 5 minute comes first.

5 minutes 48 seconds = 5 + 48/60 = 5 + 4/5 = 29/5.

Thus, (5/(5 + 29/5)) × 180 = 83 hrs 20 minutes

Thus, after 83 hrs 20 minutes from Monday 9 am, the clock shows the correct time.

I.e. Thursday 8:20 pm.

Hence, correct answer will be Thursday 8:20.

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