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While person A walked 200m, person B walked 100m. They walked facing

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Math Revolution GMAT Instructor
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While person A walked 200m, person B walked 100m. They walked facing  [#permalink]

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New post 06 Dec 2019, 01:34
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C
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  15% (low)

Question Stats:

91% (01:52) correct 9% (01:41) wrong based on 23 sessions

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[GMAT math practice question]

While person \(A\) walked \(200m\), person \(B\) walked \(100m\). They walked facing each other for a distance of \(1500m\) and met in \(10\) minutes. Find the sum of the distances persons \(A\) and \(B\) walked in \(1\) minute.

A. \(100m\)

B. \(120m\)

C. \(150m \)

D. \(160m\)

E. \(170m\)

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Re: While person A walked 200m, person B walked 100m. They walked facing  [#permalink]

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New post 06 Dec 2019, 09:09
MathRevolution wrote:
[GMAT math practice question]

While person \(A\) walked \(200m\), person \(B\) walked \(100m\). They walked facing each other for a distance of \(1500m\) and met in \(10\) minutes. Find the sum of the distances persons \(A\) and \(B\) walked in \(1\) minute.

A. \(100m\)

B. \(120m\)

C. \(150m \)

D. \(160m\)

E. \(170m\)


It is a straight forward question we are given average velocity in terms of distance and time.

Distance = 1500 m and time=10 minutes.

When they both are travelling we have to add the distances covered by both. So the distance covered by A and B combined would be average velocity.

So Average speed =1500/10 = 150 m/min

So distance traveled A and B combined is 150 hence C is correct
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Re: While person A walked 200m, person B walked 100m. They walked facing  [#permalink]

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New post 08 Dec 2019, 18:40
=>

Assume Va and Vb are the speeds of persons A and B, respectively.

Then we have Va = 2Vb and 10Va + 10Vb = 10(2Vb) + 10Vb = 20Vb + 10Vb = 30Vb = 1500, and Vb = 50m/min. Then Va = 2Vb = 2(50) = 100m/min.

Then the distances walked by persons A and B in 1 minute are 100m and 50m, respectively. So, the total distance = 100 + 50 = 150.

Therefore, C is the answer.
Answer: C
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Re: While person A walked 200m, person B walked 100m. They walked facing   [#permalink] 08 Dec 2019, 18:40
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