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Emma and Jess ran in a 10-kilometer fun run. Emma finished the run in

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Emma and Jess ran in a 10-kilometer fun run. Emma finished the run in [#permalink]

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New post 16 Oct 2016, 08:32
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A
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C
D
E

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Question Stats:

83% (00:43) correct 17% (01:16) wrong based on 63 sessions

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Emma and Jess ran in a 10-kilometer fun run. Emma finished the run in 4 hours, and Jess ran at an average speed that was 20 percent faster than Emma's. how many hours did Jess take to complete the run?

a) 2
b) 3
c) 3.33
d) 11/3
e) 24/5

Please assist with above problem.
[Reveal] Spoiler: OA
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Emma and Jess ran in a 10-kilometer fun run. Emma finished the run in [#permalink]

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New post 16 Oct 2016, 09:47
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Average Speed = Total Distance/Total Time taken

Avg Spd for Emma = 10/4 = 2.5 km/h

Avg Spd for Jess = 20% more than Emma = 1.2*2.5 = 3 Km/h

Time taken by Jess = Total Distance/Total Time = 10/3 = 3.33 Hr

Option C

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Re: Emma and Jess ran in a 10-kilometer fun run. Emma finished the run in [#permalink]

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New post 16 Oct 2016, 10:44
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alanforde800Maximus wrote:
Emma and Jess ran in a 10-kilometer fun run. Emma finished the run in 4 hours, and Jess ran at an average speed that was 20 percent faster than Emma's. how many hours did Jess take to complete the run?

a) 2
b) 3
c) 3.33
d) 11/3
e) 24/5

Please assist with above problem.


Speed of Emma = \(\frac{10}{4}\) = \(2.50\)
Speed of Jess = \(120\) % of \(\frac{10}{4}\) =\(3\)

Time required by Jess is \(\frac{10}{3}\) = \(3.33\)

Hence correct answer will be (C) 3.33
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Re: Emma and Jess ran in a 10-kilometer fun run. Emma finished the run in [#permalink]

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New post 26 Jan 2018, 12:38
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Hi All,

This questions compares the average speeds of two women, so we have to organize our information in those terms.

Emma runs the 10km run in 4 hours, so her average speed is 10/4 = 2.5 km/hour. We're told that Jess ran at an average speed that was 20% FASTER than Emma's average speed.

(2.5 km/hr)(1.2) = 3 km/hr

Now that we know Jess's speed, we can figure out how long it took her to complete the run:

D = (R)(T)
10km = (3km/hr)(Time)
10/3 hours = Time

Final Answer:
[Reveal] Spoiler:
C


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Re: Emma and Jess ran in a 10-kilometer fun run. Emma finished the run in   [#permalink] 26 Jan 2018, 12:38
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