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Car X began traveling at an average speed of 35 miles per hour. After
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25 Apr 2021, 13:26
25 Apr 2021, 13:26
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Car X began traveling at an average speed of 35 miles per hour. After 72 minutes, car Y began traveling at an average speed of 49 miles per hour. When both cars had traveled the same distance, both cars stopped. How many miles did car X travel from the time car Y began traveling until both cars stopped?
(A) 105
(B) 120
(C) 140
(D) 147
(E) 168
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
(A) 105
(B) 120
(C) 140
(D) 147
(E) 168
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: Car X began traveling at an average speed of 35 miles per hour. After
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25 Apr 2021, 13:37
25 Apr 2021, 13:37
2
Carcass wrote:
Car X began traveling at an average speed of 35 miles per hour. After 72 minutes, car Y began traveling at an average speed of 49 miles per hour. When both cars had traveled the same distance, both cars stopped. How many miles did car X travel from the time car Y began traveling until both cars stopped?
(A) 105
(B) 120
(C) 140
(D) 147
(E) 168
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
(A) 105
(B) 120
(C) 140
(D) 147
(E) 168
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
When car Y STARTS moving, car X has already traveled 42 miles
So, let's let t = the travel time starting when car Y STARTS moving
So, car X's TOTAL travel distance = 42 + 35t
So, car Y's TOTAL travel distance = 49t
We want the cars' travel distance to be EQUAL.
We can write: 42 + 35t = 49t
Simplify: 42 = 14t
Solve: t = 3
How many miles did car X travel from the time car Y began traveling until both cars stopped?
So, car X and car Y traveled for 3 hours (from the time car Y STARTED moving)
Car X's speed = 35 mph
So, car X's distance traveled (from the time car Y STARTED moving) = 3(35) = 105
Answer: A
Cheers,
Brent
General Discussion
Re: Car X began traveling at an average speed of 35 miles per hour. After
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03 May 2024, 09:22
03 May 2024, 09:22
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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