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# A and B are running in opposite direction on a circular track

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Manager
Joined: 28 Jun 2018
Posts: 86
A and B are running in opposite direction on a circular track  [#permalink]

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20 Jul 2018, 11:56
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Difficulty:

35% (medium)

Question Stats:

70% (01:51) correct 30% (02:06) wrong based on 27 sessions

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A and B are running in opposite directions on a circular track with radius of 7 miles. If they kept running continuously at their own uniform speeds till they met for the second time, What will be the sum of their respective speeds (miles/hr)?

1) A and B both starts from same point and cover same distance before first meeting.
2) A can cover entire circular track in 10 min.

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Joined: 02 Aug 2009
Posts: 6540
Re: A and B are running in opposite direction on a circular track  [#permalink]

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20 Jul 2018, 20:40
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kshitizbansal92 wrote:
A and B are running in opposite directions on a circular track with radius of 7 miles. If they kept running continuously at their own uniform speeds till they met for the second time, What will be the sum of their respective speeds (miles/hr)?

1) A and B both starts from same point and cover same distance before first meeting.
2) A can cover entire circular track in 10 min.

A and B could have been given car as poor guys ran for almost $$2\pi*r=2*7*22/7=44 miles each$$ that too if the speeds were same

Meeting second time mean they have covered 2 laps within themselves, so covered 88 miles
Sum of speed =88/(time taken)

1) A and B both starts from same point and cover same distance before first meeting.
This means the speeds are same but what is the speed not known

2) A can cover entire circular track in 10 min
Now this guy A is super human, as running 44miles in 10 minutes is just awesome. Speed =44/(10/60)=44*6=264 miles per hour.
But we don't know about B.
Insufficient

Combined..
So B also takes 10 minutes and he is also awesome with a speed of 264 miles per hour
Combined speed = 264*2=528 miles per hour .....

I am sure no good source would come up with such statistics
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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Re: A and B are running in opposite direction on a circular track &nbs [#permalink] 20 Jul 2018, 20:40
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