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From A to B (Posted on 2002-05-15) Difficulty: 5 of 5
A car drives downhill with the speed of 90 m/h. On a level road, the same car goes 72 m/h, and uphill it goes "only" 60 m/h.

It takes this car 5 hours to go from town A to town B. The return trip only takes 4 hours.

Find the distance between the two towns.

See The Solution Submitted by levik    
Rating: 3.8667 (15 votes)

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Solution Puzzle Solution With Explanation Comment 14 of 14 |
(In reply to Answer by K Sengupta)

During The onward journey, let the respective distance (in miles)
traveled uphill, level and downhill be P, Q and R.

Then it follows that, during the return journey, the respective distance traveled uphill, level and downhill are R, Q and P.

Accordingly, by conditions of the problem:

P/60 + Q/72 + R/90 = 5
P/90 + Q/72 + R/60 = 4

Adding, we obtain:

(P+Q+R)/36 = 9, giving:
P+Q+R = 324

Consequently, the distance between the two towns is 324 miles.

  Posted by K Sengupta on 2007-06-12 11:43:43
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