A and B ran, at their respective constant rates, 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
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B's speed is 20 and A' speed is 15
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Given:
- A and B ran, at their respective constant rates, a race of 480 m.
ㅤ
- In the first heat, A gives B a head start of 48 m and beats him by 1/10th of a minute.
ㅤ
- In the second heat, A gives B a head start of 144 m and is beaten by 1/30th of a minute.
ㅤ
Find:
- What is B’s speed in m/s?
Calculations:
- (t + 1/10)
- (t - 1/30)
ㅤ
ㅤㅤ = 144 - 48
ㅤㅤ = 96 m
ㅤ
ㅤㅤ = 96/8
ㅤㅤㅤ= 12 m/s
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Hence, 12 is the B's speed in m/s.
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