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# Maxwell leaves his home and walks toward Brad's house at the same time

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Math Expert
Joined: 02 Sep 2009
Posts: 64068
Maxwell leaves his home and walks toward Brad's house at the same time  [#permalink]

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06 Jun 2016, 03:22
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15% (low)

Question Stats:

83% (01:18) correct 17% (01:30) wrong based on 80 sessions

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Maxwell leaves his home and walks toward Brad's house at the same time that Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 50 kilometers, Maxwell's walking speed is 4 km/h, and Brad's running speed is 6 km/h. What is the distance traveled by Maxwell when they meet in the middle?

(A) 16
(B) 18
(C) 20
(D) 24
(E) 30

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Re: Maxwell leaves his home and walks toward Brad's house at the same time  [#permalink]

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06 Jun 2016, 03:36
Distance between Maxwell's and Brad's home = 50 km
Maxwell's speed = 4 km/h
Brad's speed = 6 km/h
Relative speed of approach = 10 km/h
Time = 50/ 10 = 5 hours

Distance traveled by Maxwell when they meet in the middle = 4*5 = 20 km
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Re: Maxwell leaves his home and walks toward Brad's house at the same time  [#permalink]

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06 Jun 2016, 11:08
Consider Max starts from Point A and Brad Starts from Point B and move towards each other.
Assume they shall meet at point O after Time 'T'. The question asks us to find OA.

From the question stem we can make out :- Distance OA = 50km - Distance OB
=> 4xT = 50 - 6xT (i.e distance =Speed x Time)
=> 10T = 50
Hence T = 5Hrs

OA = 4 x 5 = 20 Km
Ans (C)
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Re: Maxwell leaves his home and walks toward Brad's house at the same time  [#permalink]

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06 Jun 2016, 11:39
1
Time taken = Total Distance / Relative Speed
Total Distance = 50 kms
Relative Speed (Opposite side) (As they are moving towards each other speed would be added ) = 6+ 4 = 10 kms/hr

Time taken = 50 / 10 = 5 hrs
Distance traveled by Maxwell= Maxwell speed * time taken = 4 * 5 = 20 kms... Answer - C

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Re: Maxwell leaves his home and walks toward Brad's house at the same time  [#permalink]

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18 Jun 2016, 04:22
Please correct the question
It is not "when they meet in the middle"
it is when "they meet" !!!
Otherwise the answer is obvious 25 km
Verbal Forum Moderator
Status: Greatness begins beyond your comfort zone
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Re: Maxwell leaves his home and walks toward Brad's house at the same time  [#permalink]

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18 Jun 2016, 05:54
a2menthiere wrote:
Please correct the question
It is not "when they meet in the middle"
it is when "they meet" !!!
Otherwise the answer is obvious 25 km

Hi a2menthiere ,
I believe that the question is correct as it is . In the middle here means a point between their homes . The point does not have to be at the midpoint of the distance between their homes .
Also , since Brad and Maxwell start at the same time and their speed is not the same , they can never meet at the halfway - that is 25 km .

Hope it helps!!
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When everything seems to be going against you, remember that the airplane takes off against the wind, not with it. - Henry Ford
The Moment You Think About Giving Up, Think Of The Reason Why You Held On So Long
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Joined: 01 Apr 2016
Posts: 11
Re: Maxwell leaves his home and walks toward Brad's house at the same time  [#permalink]

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21 Jun 2016, 08:07
Skywalker18 wrote:
a2menthiere wrote:
Please correct the question
It is not "when they meet in the middle"
it is when "they meet" !!!
Otherwise the answer is obvious 25 km

Hi a2menthiere ,
I believe that the question is correct as it is . In the middle here means a point between their homes . The point does not have to be at the midpoint of the distance between their homes .
Also , since Brad and Maxwell start at the same time and their speed is not the same , they can never meet at the halfway - that is 25 km .

Hope it helps!!

Sorry but in my language "middle "means there is the same DISTANCE between two things.
Re: Maxwell leaves his home and walks toward Brad's house at the same time   [#permalink] 21 Jun 2016, 08:07

# Maxwell leaves his home and walks toward Brad's house at the same time

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