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# Triathlete Dan runs along a 2-mile stretch of river and then

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Manager
Joined: 16 Jan 2007
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Triathlete Dan runs along a 2-mile stretch of river and then [#permalink]  24 Dec 2007, 03:10
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Difficulty:

5% (low)

Question Stats:

80% (01:00) correct 20% (00:00) wrong based on 5 sessions
Triathlete Dan runs along a 2-mile stretch of river and then swims back along the same route. If Dan runs at a rate of 10 miles per hour and swims at a rate of 6 miles per hour, what is his average rate for the entire trip in miles per minute?
Director
Joined: 12 Jul 2007
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Dan travels 4 miles round trip.

Running part: (2/10 = 1/5*60 = 12 minutes)
Swimming Part: (2/6 = 1/3*60 = 20 minutes)

4 miles in (12+20) minutes
4/32 = 1/8 mile per minute

Director
Joined: 03 Sep 2006
Posts: 895
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Kudos [?]: 64 [0], given: 33

Re: PS- Question [#permalink]  24 Dec 2007, 05:16
dynamo wrote:
Triathlete Dan runs along a 2-mile stretch of river and then swims back along the same route. If Dan runs at a rate of 10 miles per hour and swims at a rate of 6 miles per hour, what is his average rate for the entire trip in miles per minute?

Total Distance/Total time

=4/ [( 1/5) + (1/3)]= 15/2

in miles per minute 15/2*60 = 1/8
SVP
Joined: 28 Dec 2005
Posts: 1597
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time to run = 1/5 hr = 12 minutes

time to swim = 1/3 hr = 20 minutes

average rate = total distance / total time
= 4 miles / 20+12 = 4/32 = 1/8 mile per minute
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