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Updated on: 10 Jul 2019, 04:31
Originally posted by ruchi857 on 18 May 2016, 21:56.
Last edited by Sajjad1994 on 10 Jul 2019, 04:31, edited 1 time in total.
Last edited by Sajjad1994 on 10 Jul 2019, 04:31, edited 1 time in total.
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
67% (03:01) correct
33%
(02:49)
wrong
based on 282
sessions
History
Date
Time
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Not Attempted Yet
Scott starts jogging from Point X to Point Y. A half hour later his friend Garrett who jogs 1 mile per hour slower than twoce Scott's rate starts from the same point and follows the same path. If Garrett overtakes Scott in 2 hours, how many miles will garett have covered?
A. 2.5
B. 3.5
C. 4
D. 4.2
A. 2.5
B. 3.5
C. 4
D. 4.2
Source: Nova GMAT
Difficulty Level: 650
Difficulty Level: 650
Show SpoilerMy solution
I solved this in following approach:
Garett's rate (miles/hour) = 2x-1
Scott's rate (miles/hour) = x
Distance needs to be equated therefore (2x-1)*2 = x*2.5
X = 4/3; therefore distance of garett is 3.5
What are other approaches to solvin this
Garett's rate (miles/hour) = 2x-1
Scott's rate (miles/hour) = x
Distance needs to be equated therefore (2x-1)*2 = x*2.5
X = 4/3; therefore distance of garett is 3.5
What are other approaches to solvin this
18 May 2016, 22:37
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ruchi857
You can think of it in terms of relative speed too though calculations will be similar.
Scott's speed is S. Garett's speed is 2S - 1. Their relative speed = 2S - 1 - S = S - 1
Relative distance between them is the distance traveled by Scott in half an hour i.e. S/2
Relative Distance = Relative Speed * Time
S/2 = (S - 1)*2
S = 4/3
Distance traveled by Garett is (2*(4/3) - 1)*2 = 3.3 miles
What is the source of this question? Certainly not GMAT specific. There are only 4 options; plus, the question is not accurate. It should mention "approximately".
19 May 2016, 05:18
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ruchi857
You approach is perfectly fine here.
A minor change can be incorporated in the following way:
Garett's rate (miles/hour) = 2x-1
Scott's rate (miles/hour) = x
Since both are walking in the same direction, relative speed = 2x - 1 - x = x - 1
Relative distance between them = distance covered by Scott in the initial half hour = x/2
x/2 = (x - 1)*2
x = 4x - 4
x = 4/3 miles/hour
Distance covered by Garret in 2 hours = (2(4/3) - 1)*2 = 10/3
Correct Option: B
However, I too agree with Karishma on this not being a GMAT type question.
