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# Sprinter A and Sprinter B are running the 100 yard dash in opposite

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Math Expert
Joined: 02 Sep 2009
Posts: 52164
Sprinter A and Sprinter B are running the 100 yard dash in opposite  [#permalink]

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27 Apr 2017, 01:26
00:00

Difficulty:

45% (medium)

Question Stats:

56% (01:27) correct 44% (01:31) wrong based on 53 sessions

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Sprinter A and Sprinter B are running the 100 yard dash in opposite directions. Sprinter A is starting at the finish line for Sprinter B and Sprinter B is starting at the finish line for Sprinter A. Who is the faster sprinter, assuming that they run a constant speed throughout the entire 100 yards?

(1) Sprinter A averages 3 feet per step and Sprinter B average 5/2 feet per step.
(2) Sprinter B takes 4 steps per second and Sprinter A takes 3 steps per second.

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Re: Sprinter A and Sprinter B are running the 100 yard dash in opposite  [#permalink]

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27 Apr 2017, 02:45
St1: A --> 3 feet per step; B --> 2.5 feet per step
But we do not know the time taken for each step.
Not Sufficient

St2: A --> 3 steps/sec; B --> 4 steps/sec
But we do not know the distance covered by each step.
Not Sufficient

Combining St1 and St2,
A --> 3 * 3 = 9 feet/sec; B --> 2.5 * 4 = 10 feet/sec
B is faster
Sufficient

Re: Sprinter A and Sprinter B are running the 100 yard dash in opposite &nbs [#permalink] 27 Apr 2017, 02:45
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