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P to Q

by goyalsau » Sun Dec 05, 2010 4:44 am
Ram started from P towards Q at 3:00 am. and Ravi started from Q towards P at 8:00 am. If they met each other at 12:00 noon and later reached their destinations simultaneously, at what time did Ram reach Q?



12:10 p.m.

5:30 p.m.

6:00 p.m.

8:00 p.m.

7:00 PM
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by beat_gmat_09 » Sun Dec 05, 2010 5:52 am
is it C ?
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by shovan85 » Sun Dec 05, 2010 6:06 am
goyalsau wrote:Ram started from P towards Q at 3:00 am. and Ravi started from Q towards P at 8:00 am. If they met each other at 12:00 noon and later reached their destinations simultaneously, at what time did Ram reach Q?



12:10 p.m.

5:30 p.m.

6:00 p.m.

8:00 p.m.

7:00 PM
IMO C

Let total distance be x. Speed of Ram = u and Speed of Ravi =v

At 12 Ram covered 9u (12-3 Hrs) and Ravi covered 4v (12-8Hrs) in distance.

So 9u+4v = x ...[1]

they reach simultaneously the time taken by them each to reach destination is same after they meet

Thus 4v/u = 9u/v (as after meeting Ravi has to cover 9u and Ram has to 4v)

=> v/u = 3/2

So put v = 3u/2 in (1) and get x = 10v

So Ravi takes 10hrs to cover x and at 12 he has covered 4hrs

So Remaining 6hrs he has to cover

12noon + 6 = 6PM
Last edited by shovan85 on Sun Dec 05, 2010 6:10 am, edited 1 time in total.
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by Rahul@gurome » Sun Dec 05, 2010 6:08 am
Say, speed of Ram = x per hour and speed of Ravi = y per hour

When they met,
  • Ram has traveled for (12 - 3) = 9 hours => Distance traveled = 9x
    Ravi has traveled for (12 - 8) = 4 hours => Distance traveled = 4y
After meeting they will cover the distance traveled by the other in same time, thus (9x/y) = (4y/x) => x = (2/3)y

Ram has to cover a distance of 4y with speed of (2/3)y per hour.
Required time = (4y)/(2y/3) hours = 6 hours

Ram will reach the Q at (12:00 noon + 6 hours) = 6:00 PM

The correct answer is C.
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by beat_gmat_09 » Sun Dec 05, 2010 6:13 am
C it is :)
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by goyalsau » Sun Dec 05, 2010 9:17 am
Thanks Guys,

I was not able to solve this one, Don't know what is happening to my Quant Skills,

I have posted one more problem Please share your view on that one as well.

https://www.beatthegmat.com/sequence-series-t71079.html
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