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Triathlete Dan runs along a 2-mile stretch of river and then swims bac [#permalink]

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24 Dec 2007, 03:10

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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?

Re: Triathlete Dan runs along a 2-mile stretch of river and then swims bac [#permalink]

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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?

Re: Triathlete Dan runs along a 2-mile stretch of river and then swims bac [#permalink]

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14 Sep 2014, 20:37

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Re: Triathlete Dan runs along a 2-mile stretch of river and then swims bac [#permalink]

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14 Sep 2014, 20:46

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If distance traveled is same but at varying rates, the average rate can be found through the shortcut \(\frac{2ab}{a+b}\) where a and b are individual rates. In this problem \(a=10\) and \(b=6\) therefore average speed = \(\frac{15}{2}\) miles per hour, i.e. \(\frac{1}{8}\) miles per minute.

P.S. Added tags as saw this question in an MGMAT CAT.

Re: Triathlete Dan runs along a 2-mile stretch of river and then swims bac [#permalink]

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15 Sep 2014, 00:03

Dienekes wrote:

If distance traveled is same but at varying rates, the average rate can be found through the shortcut \(\frac{2ab}{a+b}\) where a and b are individual rates. In this problem \(a=10\) and \(b=6\) therefore average speed = \(\frac{15}{2}\) miles per hour, i.e. \(\frac{1}{8}\) miles per minute.

P.S. Added tags as saw this question in an MGMAT CAT.

Re: Triathlete Dan runs along a 2-mile stretch of river and then swims bac [#permalink]

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17 Nov 2015, 14:32

Hello from the GMAT Club BumpBot!

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Re: Triathlete Dan runs along a 2-mile stretch of river and then swims bac [#permalink]

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13 Jan 2017, 14:54

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Triathlete Dan runs along a 2-mile stretch of river and then swims bac [#permalink]

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18 Jan 2017, 08:56

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?

A. 1/8 B. 2/15 C. 3/15 D. 1/4 E. 3/8

t1 = 2/10 hours t2 = 2/6

t =t1 + t2 = 2/10 + 2/6 = 16/30

Average speed = Total distance/ total time = 4/ [16/30] = 15/2 mph

Re: Triathlete Dan runs along a 2-mile stretch of river and then swims bac [#permalink]

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19 Apr 2017, 22:24

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?

A. 1/8 B. 2/15 C. 3/15 D. 1/4 E. 3/8

We can approach this problem using conversion factors

If the total distance is 2 miles and Dan runs at a rate of 10 miles per hour then he will cover in 1/5 of an hour or 1 mile in 6 minutes

Re: Triathlete Dan runs along a 2-mile stretch of river and then swims bac [#permalink]

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01 Aug 2017, 01:38

Dienekes wrote:

If distance traveled is same but at varying rates, the average rate can be found through the shortcut \(\frac{2ab}{a+b}\) where a and b are individual rates. In this problem \(a=10\) and \(b=6\) therefore average speed = \(\frac{15}{2}\) miles per hour, i.e. \(\frac{1}{8}\) miles per minute.

P.S. Added tags as saw this question in an MGMAT CAT.

Thank you for the explanation. I picked answer choice "B" because I did not pay attention to the unit (minutes) in the question.