Aptitude - Clock - Discussion

Discussion Forum : Clock - General Questions (Q.No. 4)
4.
A watch which gains 5 seconds in 3 minutes was set right at 7 a.m. In the afternoon of the same day, when the watch indicated quarter past 4 o'clock, the true time is:
59 7 min. past 3
12
4 p.m.
58 7 min. past 3
11
2 3 min. past 4
11
Answer: Option
Explanation:

Time from 7 a.m. to 4.15 p.m. = 9 hrs 15 min. = 37 hrs.
4

3 min. 5 sec. of this clock = 3 min. of the correct clock.

37 hrs of this clock = 1 hrs of the correct clock.
720 20

37 hrs of this clock = 1 x 720 x 37 hrs of the correct clock.
4 20 37 4

      = 9 hrs of the correct clock.

The correct time is 9 hrs after 7 a.m. i.e., 4 p.m.

Discussion:
155 comments Page 16 of 16.

Rajat said:   6 years ago
9hrs and 15 minutes =555 and 555/60 = 9.25, but how it is 37/4?

Please explain.

Yogetha said:   6 years ago
@Rajat.

555/60=9.25 that can be written in fractional form by simplifying it as 37/4 since (15*37=555 & 15*4=60).

RESHMA said:   6 years ago
@Mamta.

Your explanation is quite easy for me to understand. Thanks for helping.

Prashasti said:   5 years ago
Well said, Thank you @Sundar.

MOHITH said:   2 weeks ago
THE CORRECT ANSWER IS OPTION(A)

Step 1: Find total gain per minute

Given: 5 sec gain in 3 min
Gain per minute = 5/3 sec

Step 2: Find total time shown by watch
From 7:00 a.m. to 4:15 p.m. = 555 minutes

Step 3: Find total gain in that time,
Total gain = 555 × 5/3.
= 925 sec.

Convert:
925 sec = 15 min 25 sec.

Step 4: Subtract gain from shown time,

Watch is fast, so:
Real time=4:15−15 min 25 sec.
= 3:59:35 p.m.
converting to mixed fraction give us answer as 3:59:35/60 that is equals to 3:59:7/12.


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