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If P and Q together can do a job in 15 days, Q and R together can do it in 12 days and P and R together can do the same in 20 days, then in how many days will the job be completed, if all the three work together?

A4 days

B6 days

C10 days

D14 days

Answer:

C. 10 days

Read Explanation:

image.png

60 is the total work

4 and 5 and 3 are efficiency respectively

worktime=efficiency\frac{work}{time} = efficiency

so total efficiency together is 12

2(A+B+C)=4+5+3=12

(A+B+C)=12/2=6

so if all the three work together the no of days

=60/6=10 days


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