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Problem Solving (PS) | Re: Mary and Jane working together can complete a task in 2 hours and 24 m

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Nikhil wrote:

Mary and Jane working together can complete a task in 2 hours and 24 minutes. Jane and Karen working together can complete the same task in 1 hour 20 minutes whereas Karen and Mary working together can complete the task in 1 hour 30 minutes. Which of the following best represents the time (in minutes) taken to complete the task if Mary, Jane and Karen work together?

A)42
B)48
C)54
D)60
E)66


M + J = 144 Min
J + K = 80 Min
K + M = 90 Min

Let, the total work be 720 Units...

Efficiency of M + J = 5
Efficiency of J + K = 9
Efficiency of K + M = 8

Total efficiency of K + M + J = (5+9+8)/2 = 11

So, Total time taken by K + M + J is 720/11 ~ 65.xxx, Answer must hence be (E)

Statistics : Posted by Abhishek009 • on 01 Dec 2018, 10:27 • Replies 8 • Views 4044



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