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# In a km race, A gives B a start of 20 seconds and beats him

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In a km race, A gives B a start of 20 seconds and beats him [#permalink]

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29 Oct 2005, 10:34
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In a km race, A gives B a start of 20 seconds and beats him by 40m. However, when he gives B a start of 25 seconds they finish in a dead heat. What is Aâ€™s speed in m/sec?

(1) 12.5 m/sec
(2) 20 m/sec
(3) 8 m/sec
(4) 10 m/sec
(5) 14 m/sec
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29 Oct 2005, 10:43
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in the first run A beats B by 40m with a headstart of 20s
in the second run A gives B a headstart of 5s more and it ends in a draw. that means B ran the 40m in 5s. so his speed is 8m/s. 1000m/8s/m= 125s-25s=100s. A needs 100s to run 1000m. so its 10m/s.
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Re: PS Race Ascent 5/02 [#permalink]

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29 Oct 2005, 10:54
GMATT73 wrote:
In a km race, A gives B a start of 20 seconds and beats him by 40m. However, when he gives B a start of 25 seconds they finish in a dead heat. What is Aâ€™s speed in m/sec?

(1) 12.5 m/sec
(2) 20 m/sec
(3) 8 m/sec
(4) 10 m/sec
(5) 14 m/sec

In case where A gives 20 sec and wins by 40m. Sa = speed of A Sb speed of B.

1000/Sa = (1000- (20 * Sb) -40) /Sb

In case 2 - 1000/Sa = (1000 -25 * Sb)/Sb

Sa is 10 m /sec.
Re: PS Race Ascent 5/02   [#permalink] 29 Oct 2005, 10:54
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# In a km race, A gives B a start of 20 seconds and beats him

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