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A train travels from Albany to Syracuse, a distance of 120 miles, at [#permalink]
13 Aug 2011, 06:46

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This post was BOOKMARKED

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Difficulty:

25% (medium)

Question Stats:

74% (03:15) correct
26% (02:30) wrong based on 69 sessions

A train travels from Albany to Syracuse, a distance of 120 miles, at the average rate of 50 miles per hour. The train then travels back to Albany from Syracuse. The total travelling time of the train is 5 hours and 24 minutes. What was the average rate of speed of the train on the return trip to Albany?

Re: A train travels from Albany to Syracuse, a distance of 120 miles, at [#permalink]
13 Aug 2011, 07:40

1

This post was BOOKMARKED

LGOdream wrote:

A train travels from Albany to Syracuse, a distance of 120 miles, at the average rate of 50 miles per hour. The train then travels back to Albany from Syracuse. The total traveling time of the train is 5 hours and 24 minutes. What was the average rate of speed of the train on the return trip to Albany?

A: 60 mph B: 50 mph C: 48 mph D: 40 mph E: 35 mph

What would be the fastest / most efficient approach? The total travelling time being in hours and minutes is really annoying.

Re: A train travels from Albany to Syracuse, a distance of 120 miles, at [#permalink]
13 Aug 2011, 17:49

LGOdream wrote:

A train travels from Albany to Syracuse, a distance of 120 miles, at the average rate of 50 miles per hour. The train then travels back to Albany from Syracuse. The total travelling time of the train is 5 hours and 24 minutes. What was the average rate of speed of the train on the return trip to Albany?

A: 60 mph B: 50 mph C: 48 mph D: 40 mph E: 35 mph

What would be the fastest / most efficient approach? The total travelling time being in hours and minutes is really annoying.

Total time taken 5 hours 24 minuets Time taken to drive Albany to Syracuse = 120 miles /50 miles = 2 hours 24 minuets (here is a chance of doing 40 minuets instead of 24 minuets. This is a trap.) Time taken to drive back from Albany to Syracuse = 5 hours 24 minuets - 2 hours 24 minuets = 3 hours

Speed to drive back from Albany to Syracuse = 120 / 3 hours = 40 mph.

Re: A train travels from Albany to Syracuse, a distance of 120 miles, at [#permalink]
05 Mar 2015, 14:09

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First we need to note the measurement. So, the question asks for the Rate of BACK, and we are given the initial Rate for GO in miles per hour, so we need the Times to be in hours. So, 5 hours and 24 minutes will be 5.4 hours.

We only need to find how much 24 minutes are in hours, so 24/60 = 2/5 = 0,4. We add this to 5 hours, so total 5.4 hours.

We find the Time for GO like this: 50T=120 T=2.4

Now, we are only missing the time for BACK. We subtract 2.4 from 5.4 and end up with 3.

Finally, R*3=120 --> R = 40. ANS D

gmatclubot

Re: A train travels from Albany to Syracuse, a distance of 120 miles, at
[#permalink]
05 Mar 2015, 15:31

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