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Two people start jogging at the same point and time but in opposite di

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Two people start jogging at the same point and time but in opposite di  [#permalink]

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New post Updated on: 10 Jul 2019, 04:31
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A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

86% (01:20) correct 14% (02:42) wrong based on 37 sessions

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Two people start jogging at the same point and time but in opposite directions. If the rate of one jogger is 2 mph faster than the other and after 3 hours they are 30 miles apart, what is the rate of the faster jogger?

(A) 3
(B) 4
(C) 5
(D) 6
(E) 7

Source: Nova GMAT
Difficulty Level: 550

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Originally posted by Bunuel on 14 Apr 2019, 04:08.
Last edited by SajjadAhmad on 10 Jul 2019, 04:31, edited 1 time in total.
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Re: Two people start jogging at the same point and time but in opposite di  [#permalink]

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New post 14 Apr 2019, 04:18
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Total distance covered in 3 hours = 30 miles

The relative speed of faster runner(x+2 mph) with respect to the slower runner(x mph) = 30/3= 10mph
Relative speed = x+x+2 = 10
2x=8
x=4 mph
Speed of faster runner= x+2 mph= 4+2 mph
=6 mph

Hence, Answer is D
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Re: Two people start jogging at the same point and time but in opposite di  [#permalink]

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New post 14 Apr 2019, 04:59
Bunuel wrote:
Two people start jogging at the same point and time but in opposite directions. If the rate of one jogger is 2 mph faster than the other and after 3 hours they are 30 miles apart, what is the rate of the faster jogger?

(A) 3
(B) 4
(C) 5
(D) 6
(E) 7


total speed for 3 hrs to cover 30 miles ; 30/3 = 10 mph
so since they are running opposite so total speed = x+x+2 = 10
x= 4mph
and fast = 4+2 ; 6mph
IMO D
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Re: Two people start jogging at the same point and time but in opposite di   [#permalink] 14 Apr 2019, 04:59
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