A typing work is done by three person P Q and R P alone takes 10 hours to type a single booklet but ...........

Quantitative Aptitude ( CCS) Time and work

A typing work is done by three person P, Q and R. P alone takes 10 hours to type a single booklet but B and C working together takes 4 hours, for the completion of the same booklet. If all of them worked together and completed 14 booklets, then how many hours have they worked?

30hrs

40hrs

25hrs

45hrs

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Explanation:

Explanation :
1/P = 1/10
1/P + 1/Q + 1/R = 1/10 + 1/4 = 7/20
In 20 hours, working together, they will complete 7 booklets.
Thus, in 40 hours they will complete 14 booklets.