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

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by alanforde800Maximus » Sun Oct 16, 2016 8:34 am
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.
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by [email protected] » Sun Oct 16, 2016 9:48 am
Hi alanforde800Maximus,

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: C

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by fiza gupta » Mon Oct 17, 2016 1:12 am
Distance = speed*time
distance = 10 km
Emma's time = 4
speed = 10/4
Jess speed(20 % faster) = (120/100)*10/4 = 3
time taken = 10/3 = 33.33

SO C
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