the slower clock loses 3 mins per hour and the faster one gains 5 mins per hour
so over all the faster clock is only 2 mins ahead of the slower clock
the faster clock gains 2 mins per hour over the slower clock so it gains 48 mins in the entire day
Now the only way for the clocks to strike 12 at midnight together is if the faster clock gains an entire day over the slower one
There are 60*24= 1440 mins in a day
every day the clock gains 48 mins
there fore the clock needs 1440/48 = 30 days to gain a day
Hence the time required is more than 3 weeks to strike 12 at midnight again
ANSWER E
Clock Problem !! tough one !
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Source: Beat The GMAT — Problem Solving |
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gautamberry
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nitin_truchy
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I think that the fastre clock gains 8 mins (and not 2) over the slower one.
So number of days required to gain 24 hours would be 1440/(24*8) ~ 7.5 days ~ more than 1 week.
So number of days required to gain 24 hours would be 1440/(24*8) ~ 7.5 days ~ more than 1 week.
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gautamberry
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can u explain how u got faster ahead only by 2 min...sh'dnt it be 8 min?gautamberry wrote:the slower clock loses 3 mins per hour and the faster one gains 5 mins per hour
so over all the faster clock is only 2 mins ahead of the slower clock
the faster clock gains 2 mins per hour over the slower clock so it gains 48 mins in the entire day
Now the only way for the clocks to strike 12 at midnight together is if the faster clock gains an entire day over the slower one
There are 60*24= 1440 mins in a day
every day the clock gains 48 mins
there fore the clock needs 1440/48 = 30 days to gain a day
Hence the time required is more than 3 weeks to strike 12 at midnight again
ANSWER E
How come it is 2???gautamberry wrote:the slower clock loses 3 mins per hour and the faster one gains 5 mins per hour
so over all the faster clock is only 2 mins ahead of the slower clock
the faster clock gains 2 mins per hour over the slower clock so it gains 48 mins in the entire day
Now the only way for the clocks to strike 12 at midnight together is if the faster clock gains an entire day over the slower one
There are 60*24= 1440 mins in a day
every day the clock gains 48 mins
there fore the clock needs 1440/48 = 30 days to gain a day
Hence the time required is more than 3 weeks to strike 12 at midnight again
ANSWER E
Hi, the answer is wrong see here
First
Day 12.00 12.00
1 57.00 65.00
2 57.00 65.00
3 57.00 65.00
4 57.00 65.00
5 57.00 65.00
6 57.00 65.00
7 57.00 65.00
8 57.00 65.00
9 57.00 65.00
10 57.00 65.00
11 57.00 65.00
12 57.00 65.00
13 57.00 65.00
14 57.00 65.00
15 57.00 65.00
16 57.00 65.00
17 57.00 65.00
18 57.00 65.00
19 57.00 65.00
20 57.00 65.00
21 57.00 65.00
22 57.00 65.00
23 57.00 65.00
24 57.00 65.00
oneday 1368 1560
so the slower clock will be showing 22.48 and faster clock will be slowing 26.00 (which means 02.00)
that mean faster clock get 192 means faster daily compared to slower one.
in order for the two clocks to reach 12 again they need to travel 24*60=1440 minutes
1440/192=7.5 days abt a week if i am wrong please explain me.
First
Day 12.00 12.00
1 57.00 65.00
2 57.00 65.00
3 57.00 65.00
4 57.00 65.00
5 57.00 65.00
6 57.00 65.00
7 57.00 65.00
8 57.00 65.00
9 57.00 65.00
10 57.00 65.00
11 57.00 65.00
12 57.00 65.00
13 57.00 65.00
14 57.00 65.00
15 57.00 65.00
16 57.00 65.00
17 57.00 65.00
18 57.00 65.00
19 57.00 65.00
20 57.00 65.00
21 57.00 65.00
22 57.00 65.00
23 57.00 65.00
24 57.00 65.00
oneday 1368 1560
so the slower clock will be showing 22.48 and faster clock will be slowing 26.00 (which means 02.00)
that mean faster clock get 192 means faster daily compared to slower one.
in order for the two clocks to reach 12 again they need to travel 24*60=1440 minutes
1440/192=7.5 days abt a week if i am wrong please explain me.
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vivek.kapoor83
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gautam.,
can u explain this...
Suppose time is 1.00 am
After one hr exact time 2.00 am
Slower watch will show - 1.57 am
Faster watch will show - 2.05 am
So,diif is 8 mins..how it is 2 mins pls explain by some example.
can u explain this...
Suppose time is 1.00 am
After one hr exact time 2.00 am
Slower watch will show - 1.57 am
Faster watch will show - 2.05 am
So,diif is 8 mins..how it is 2 mins pls explain by some example.
