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# One person travels from X to Y and then from Y to X. He takes differen

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Intern
Joined: 28 Dec 2014
Posts: 9
GMAT 1: 710 Q47 V41
One person travels from X to Y and then from Y to X. He takes differen  [#permalink]

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27 Jun 2017, 15:33
1
00:00

Difficulty:

35% (medium)

Question Stats:

66% (01:44) correct 34% (01:37) wrong based on 76 sessions

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One person travels from X to Y and then from Y to X. He takes different routes back and forth. It took him 36 miles per hour to move from X to Y, and it took him 48 miles per hour to come from Y to X. What was the average speed of his entire travel?

1) The distance of the return trip was 24% of the entire travel distance.
2) The distance of the return trip is 100 miles.
Math Expert
Joined: 02 Aug 2009
Posts: 7609
Re: One person travels from X to Y and then from Y to X. He takes differen  [#permalink]

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27 Jun 2017, 20:12
aazt wrote:
One person travels from X to Y and then from Y to X. He takes different routes back and forth. It took him 36 miles per hour to move from X to Y, and it took him 48 miles per hour to come from Y to X. What was the average speed of his entire travel?

1) The distance of the return trip was 24% of the entire travel distance.
2) The distance of the return trip is 100 miles.

Hi,
We have two parts of the routes and we are given average speed of the TWO parts separately..
1) If the two parts are EQUAL, then just add the two speeds and divide by 2.
2) If the two parts are UNEQUAL, either there values are required or just the RATIO of two parts relative to each other or to total distance is sufficient

Let's see the statements..
1) return trip is 24% of Total.
Onward trip 36mph and return trip 48mph.
Sufficient
2) return trip is 100miles.
Nothing about total or initial journey
Insufficient

A
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Joined: 04 Dec 2015
Posts: 750
Location: India
Concentration: Technology, Strategy
WE: Information Technology (Consulting)
Re: One person travels from X to Y and then from Y to X. He takes differen  [#permalink]

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02 Jul 2017, 02:06
aazt wrote:
One person travels from X to Y and then from Y to X. He takes different routes back and forth. It took him 36 miles per hour to move from X to Y, and it took him 48 miles per hour to come from Y to X. What was the average speed of his entire travel?

1) The distance of the return trip was 24% of the entire travel distance.
2) The distance of the return trip is 100 miles.

Given speed of route from X to Y (36 mph) and speed of route from Y to X(48 mph).

1) The distance of the return trip was 24% of the entire travel distance.
Let Total distance be D.
Distance from Y to X is 24% of D.
Distance from X to Y will be = D - 24% of D.
We have the distance and the speed. We can find the time and average speed. Hence I is Sufficient.

2) The distance of the return trip is 100 miles.
Does not provide any information about total distance or distance from X to Y or time. Hence we cannot find the average speed. Hence II is Not Sufficient.

Re: One person travels from X to Y and then from Y to X. He takes differen   [#permalink] 02 Jul 2017, 02:06
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