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Walking at 60% of his usual speed a man takes 24 minutes more to cover
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28 Apr 2021, 08:39
28 Apr 2021, 08:39
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Walking at 60% of his usual speed a man takes 24 minutes more to cover a distance. What is his usual time to cover this distance?
A. 30
B. 36
C. 42
D. 48
E. 54
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
A. 30
B. 36
C. 42
D. 48
E. 54
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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Joined: 10 Apr 2015
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Re: Walking at 60% of his usual speed a man takes 24 minutes more to cover
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28 Apr 2021, 08:47
28 Apr 2021, 08:47
1
Carcass wrote:
Walking at 60% of his usual speed a man takes 24 minutes more to cover a distance. What is his usual time to cover this distance?
A. 30
B. 36
C. 42
D. 48
E. 54
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
A. 30
B. 36
C. 42
D. 48
E. 54
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Let's start with a WORD EQUATION:
distance traveled at REGULAR speed = distance traveled at REDUCED speed
distance = (rate)(time)
Let R = REGULAR speed
So 0.6R = REDUCED speed
Let t = travel time (in minutes) at REGULAR speed
So t + 24 = travel time (in minutes) at REDUCED speed
Now plug this information into our WORD EQUATION to get:
Rt = (0.6R)(t + 24)
Divide both sides by R to get: t = (0.6)(t + 24)
Rewrite 0.6 as 3/5 to get: t = (3/5)(t + 24)
Expand: t = 3t/5 + 72/5
Multiply both sides by 5 to get: 5t = 3t + 72
Solve to get: t = 36
Answer: B
Cheers,
Brent
gmatclubot
Re: Walking at 60% of his usual speed a man takes 24 minutes more to cover [#permalink]
28 Apr 2021, 08:47
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