72(3) who reaches the ground first

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ern5231: Master | Next Rank: 500 Posts; Posts: 226; Joined: Sun Aug 09, 2009 4:34 am

by ern5231 » Sun Oct 11, 2009 4:58 am

AB from both 100m Fall height, B started 10 seconds later than the A, and asked who reaches the ground first?
(1) B 1m/s faster than A
(2) A's speed is at least 3m/s

Plz show the working also

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Source: Beat The GMAT — Data Sufficiency | Sun Oct 11, 2009 4:58 am

DREAM GMAT: Junior | Next Rank: 30 Posts; Posts: 15; Joined: Sat Aug 08, 2009 7:07 am; Location: PUNJAB; GMAT Score:610

by DREAM GMAT » Sun Oct 11, 2009 5:12 am

I think its E...

Am I Correct... If yes i can explain....but if it is NOT ...than I too need a explanation...

Regards

MANDEEP

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nithi_mystics: Senior | Next Rank: 100 Posts; Posts: 55; Joined: Mon Sep 07, 2009 9:11 pm; Location: California; Thanked: 4 times

by nithi_mystics » Sun Oct 11, 2009 8:03 am

I would say C.

1) B is 1m/s faster than A.
A speed's might be 100m/s or 1m/s ==> first case, A would reach first and second case B would reach first. So not sufficient.

2) A's speed is at least 3m/s.
B's speed is not given. So insufficient.

Taking both together, we can say A always reaches first.

For eg - A's speed = 3. then B's speed = 4
A reaches in 33.3 sec and B reaches in 35 secs (25+10)

Whenever n is greater than 2,
100/n < ((100/(n+1))+10)

Hope I am clear.

Thanks
Nithi

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