p and q together can complete a job in 12 days. Q and R together can complete it in 15 days. P and R together complete in 18 days All three work together for 3 days and then R leaves. In how many days can p and q complete the remaining work? About the author Liliana
P + Q = 12 Q + R = 15 P + R = 18 Take LCM of these 180 (total work) P + Q = 15 Q + R = 12 P + R = 10 Solving this three equations we get Efficiency of P = 6.5 , Q = 8.5 , R = 3.5 All the three work together for 3 days & then R leaves , remaining work completed by P & Q in (X) days (P + Q + R)*3 + (P + Q)*X = 180 (6.5 + 8.5 + 3.5)*3 + (6.5 + 8.5)*X = 180 55.5 + 15X = 180 15X = 124.5 X = 8.3 days Reply
P + Q = 12
Q + R = 15
P + R = 18
Take LCM of these 180 (total work)
P + Q = 15
Q + R = 12
P + R = 10
Solving this three equations we get
Efficiency of P = 6.5 , Q = 8.5 , R = 3.5
All the three work together for 3 days & then R leaves , remaining work completed by P & Q in (X) days
(P + Q + R)*3 + (P + Q)*X = 180
(6.5 + 8.5 + 3.5)*3 + (6.5 + 8.5)*X = 180
55.5 + 15X = 180
15X = 124.5
X = 8.3 days