M and R together can do a work in 18 days. R and P together can do the same work in 24 days. P and M together can do the same work in 36 days. In how many days can P alone do the same work?
A.108
B.136
C.144✓ Correct
D.72
Explanation
Total work = LCM(18,24,36) = 72 units. Combined efficiency of M+R+P = (4+3+2)/2 = 4.5. P's efficiency = 4.5 − (M+R efficiency of 4) = 0.5. P alone = 72/0.5 = 144 days.
💡 Practice unlimited SSC MTS PYQs + AI-tracked progress on each topic. Sign up free →