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GMAT Club Around The World!!! At 3.20 pm, Daniel’s watch developed a

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GMAT Club Around The World!!! At 3.20 pm, Daniel’s watch developed a [#permalink] New post   31 Dec 2021, 17:00
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At 3.20 pm, Daniel’s watch developed a mechanical fault and started moving in the reverse direction at twice the rate. At what next earliest time did it show the correct time for an instance?

A. 3.20 am
B. 5.50 am
C. 5.50 pm
D. 7.20 pm
E. 11.20 pm

 


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Re: GMAT Club Around The World!!! At 3.20 pm, Daniel’s watch developed a [#permalink] New post   02 Jan 2022, 23:00
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Bunuel wrote:
At 3.20 pm, Daniel’s watch developed a mechanical fault and started moving in the reverse direction at twice the rate. At what next earliest time did it show the correct time for an instance?

A. 3.20 am
B. 5.50 am
C. 5.50 pm
D. 7.20 pm
E. 11.20 pm



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Re: GMAT Club Around The World!!! At 3.20 pm, Daniel’s watch developed a [#permalink] New post   31 Dec 2021, 17:22
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Bunuel wrote:
At 3.20 pm, Daniel’s watch developed a mechanical fault and started moving in the reverse direction at twice the rate. At what next earliest time did it show the correct time for an instance?

A. 3.20 am
B. 5.50 am
C. 5.50 pm
D. 7.20 pm
E. 11.20 pm



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So for every hour forward the clocks moves 2hours backwards.
&
We need to find the earliest time at which the clock showed the correct time for an instance.

A. 3.20 am
That's 12 hours forward so 24 hours backward will give us the same time. Duration 12 hours.
B. 5.50 am
14.30 min forward so 29 hours backward clock won't sync. Backward time will be 10.20 am
C. 5.50 pm
2.30 min forward so 5 hours backward again the clock won't sync.
D. 7.20 pm
4 hours forward so 8 hours backwards clocks will sync. Duration 4 hours.
E. 11.20 pm
8 hours forward so 16 hours backwards clocks will sync. Duration 8 hours.

We need the earliest time possible so D
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Re: GMAT Club Around The World!!! At 3.20 pm, Daniel’s watch developed a [#permalink] New post   31 Dec 2021, 22:51
Working reverse from the options

A. 3.20 am

+ 12 hours | Daniel's watch would have gone -24 hours, time it shows 3:20 pm

B. 5.50 am

+ 14.50 hours | Daniel's watch would have gone -29 hours, time it shows 11:20 pm

C. 5.50 pm

+ 3.50 hours | Daniel's watch would have gone -7 hours, time it shows 6:20 pm

D. 7.20 pm

+ 4 hours | Daniel's watch would have gone -8 hours, time it shows 7:20 pm

E. 11.20 pm
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Re: GMAT Club Around The World!!! At 3.20 pm, Daniel’s watch developed a [#permalink] New post   01 Jan 2022, 02:17
Correct Option D

At 3.20 pm, Daniel’s watch developed a mechanical fault and started moving in the reverse direction at twice the rate.

At what next earliest time did it show the correct time for an instance?

Reverse 2x | Forward 1x
Faulty watch | Correct Watch
3:20 pm. | 3:20 pm.
1:20 p.m | 4:20 p.m - after 60 mins
11:20 a.m | 5:20 p.m - after 120 mins
9:20 a.m | 6:20 p.m - after 180 mins
7:20 a.m | 7:20 p.m - after 240 mins

Correct Option D

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Re: GMAT Club Around The World!!! At 3.20 pm, Daniel’s watch developed a [#permalink] New post   02 Jan 2022, 23:39
Given: At 3.20 pm, Daniel’s watch developed a mechanical fault and started moving in the reverse direction at twice the rate.

Asked: At what next earliest time did it show the correct time for an instance?

Since the clock effectively moves 3 times of usual speed in reverse direction and clock will show the same time every 12 hours.

The time taken by the clock to show correct time = 12/3 = 4 hours

3:20 + 4:00 = 7:20 am

IMO D

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Re: GMAT Club Around The World!!! At 3.20 pm, Daniels watch developed a [#permalink] New post   01 Apr 2023, 02:50
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Re: GMAT Club Around The World!!! At 3.20 pm, Daniels watch developed a [#permalink]
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