P works 25% more efficinetly than Q and Q works 50% more efficiently than R. To complete a certain project. P alone takes 50 days less than Q. if in this project. P alone works for 60 dasy and then Q alone works for 125 days, then in how many days car R alone can complete the remaining work?

Options

A. 50
B. 75
C. 100
D. 150

Answer

B

Explanation

(i) Let th amount of work done by R in a day be x units
(ii) Let the efficine or R be 100
`:.` Efficiency of Q =150 and Efficinency of P=187.5
(iii) Now find the ratio of the effciencies of P,Q and R
(iv) Then the find the rato of time taken by P,Q to complete the work