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Maxwell leaves his home and walks toward Brad's house. One hour later,

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Maxwell leaves his home and walks toward Brad's house. One hour later,  [#permalink]

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New post 06 Jun 2016, 03:17
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

60% (01:17) correct 40% (01:35) wrong based on 85 sessions

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Maxwell leaves his home and walks toward Brad's house. One hour later, Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 54 kilometers, Maxwell's walking speed is 4 km/h, and Brad's running speed is 6 km/h. What is the total time it takes Maxwell before he meets up with Brad?

(A) 3
(B) 4
(C) 5
(D) 6
(E) 8

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Re: Maxwell leaves his home and walks toward Brad's house. One hour later,  [#permalink]

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New post 06 Jun 2016, 03:30
6 hrs..
As Maxwell starts one hr before brad it means when brad started.d dist between them was 50 .so brad takes 5 hrs before meet n Maxwell 5+1 hrs..
I hope it's clear ..happy studying:-)

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Re: Maxwell leaves his home and walks toward Brad's house. One hour later,  [#permalink]

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New post 06 Jun 2016, 05:03
1
total time = relative distance /relative speed
By the time Brad leaves his home , Maxwell has already travelled 4 kilometers.
therefore, relative distance = 54-4=50 kilometers
time taken to meet = 50/10 = 5 hours
total time taken by maxwell= 5+1 = 6 hours
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Re: Maxwell leaves his home and walks toward Brad's house. One hour later,  [#permalink]

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New post 07 Jun 2016, 00:23
1
Total Distance = 54 kms
Maxwell Speed = 4 kms/hr
Maxwell travelled for 1hour before Brad started , therefore Maxwell traveled for 4 kms in 1 hour.

Time taken = Total Distance / Relative Speed
Total Distance after Brad started = 50 kms
Relative Speed (Opposite side) (As they are moving towards each other speed would be added ) = 6+ 4 = 10 kms/hr

Time taken to meet Brad after Brad Started = 50 / 10 = 5 hrs

Distance traveled by Maxwell = Maxwell's speed * time taken = 4 * 5 = 20+4 = 24 kms...

Therefore Total Time taken by Maxwell to meet Brad = Distance travelled by Maxwell / Maxwell's Speed = 24 /4 = 6 hrs ... Answer D

Alternatively ...
Total Time taken by Maxwell to meet Brad = Maxwell started 1 hour earlier to Brad + total time taken to meet brad after Brad started = 1+ 5 = 6 hrs... Answer D


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Re: Maxwell leaves his home and walks toward Brad's house. One hour later,  [#permalink]

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New post 28 Jul 2018, 01:39
Hello from the GMAT Club BumpBot!

Thanks to another GMAT 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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Re: Maxwell leaves his home and walks toward Brad's house. One hour later, &nbs [#permalink] 28 Jul 2018, 01:39
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