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John would have reduced the time it took him to drive from his home to
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29 Apr 2021, 10:30
29 Apr 2021, 10:30
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Question Stats:
66% (02:26) correct
33% (02:59) wrong based on 18 sessions
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John would have reduced the time it took him to drive from his home to a certain store by 1/3 if he had increased his average speed by 15 miles per hour. What was John's actual average speed, in miles per hour, when he drove from his home to the store?
(A) 25
(B) 30
(C) 40
(D) 45
(E) 50
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
(A) 25
(B) 30
(C) 40
(D) 45
(E) 50
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: John would have reduced the time it took him to drive from his home to
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29 Apr 2021, 12:47
29 Apr 2021, 12:47
2
Carcass wrote:
John would have reduced the time it took him to drive from his home to a certain store by 1/3 if he had increased his average speed by 15 miles per hour. What was John's actual average speed, in miles per hour, when he drove from his home to the store?
(A) 25
(B) 30
(C) 40
(D) 45
(E) 50
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
(A) 25
(B) 30
(C) 40
(D) 45
(E) 50
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:
(John's travel time at faster speed) = 2/3(John's regular travel time)
Let r = John's regular speed
So, r+15 = John's faster speed
Let d = the distance traveled at regular speed
So d = the distance traveled at regular speed
time = distance/speed
So, we get: d/(r + 15) = (2/3)(d/r)
Rewrite as: d/(r + 15)= 2d/3r
Cross multiply: (d)(3r) = 2d(r + 15)
Expand: 3rd = 2rd + 30d
Rearrange to get: rd = 30d
Divide both sides by d to get: r = 30
Answer: B
General Discussion
Re: John would have reduced the time it took him to drive from his home to
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29 Apr 2021, 11:53
29 Apr 2021, 11:53
solution plz
