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A and B ran a race of 480 m. In the first heat, A gives B a head start
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09 Nov 2022, 06:24
09 Nov 2022, 06:24
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36% (02:17) correct
63% (03:30) wrong based on 11 sessions
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A and B ran a race of 480 m. In the first heat, A gives B a head start of 48 m and beats him by 1/10th of a minute. In the second heat, A gives B a head start of 144 m and is beaten by 1/30th of a minute. What is B’s speed in m/s?
(A) 12
(B) 14
(C) 16
(D) 18
(E) 20
(A) 12
(B) 14
(C) 16
(D) 18
(E) 20
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Free Materials for the GRE General Exam - Where to get it!!
GRE Geometry Formulas
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Re: A and B ran a race of 480 m. In the first heat, A gives B a head start
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14 Nov 2022, 07:31
14 Nov 2022, 07:31
Expert Reply
1. Distance of B = 432
if A takes t mins, B takes = (t + 1/10)
2. Distance of B = 336
if A takes t mins, B takes = (t - 1/30)
Therefore to run (432 - 336) = 96 m , B took time (1/30 + 1/10)
i.e 96 = (1/30 + 1/10) * Speed of B
This is the speed of B in m/min. Dividing by 60, speed of B in m/sec = 12.
Answer: A
if A takes t mins, B takes = (t + 1/10)
2. Distance of B = 336
if A takes t mins, B takes = (t - 1/30)
Therefore to run (432 - 336) = 96 m , B took time (1/30 + 1/10)
i.e 96 = (1/30 + 1/10) * Speed of B
This is the speed of B in m/min. Dividing by 60, speed of B in m/sec = 12.
Answer: A
Re: A and B ran a race of 480 m. In the first heat, A gives B a head start
[#permalink]
18 Dec 2023, 03:31
18 Dec 2023, 03:31
1
Let speed of B x and speed of A be y
If A has head start of 48m so distance run by B = 432m
A will run 480m
432/x - 480/y = 6
Second phase B has a head start of 144m
480/y - 336/x = 2
Therefore
432y - 480x = 6xy
-336y + 480x = 2xy
96 y= 8xy
x = 12m/s
Adewale Fasipe, GRE quant instructor from Nigeria
If A has head start of 48m so distance run by B = 432m
A will run 480m
432/x - 480/y = 6
Second phase B has a head start of 144m
480/y - 336/x = 2
Therefore
432y - 480x = 6xy
-336y + 480x = 2xy
96 y= 8xy
x = 12m/s
Adewale Fasipe, GRE quant instructor from Nigeria
