Question
A completes a work in 15 days, B completes the same work
in 8 days while B and C jointly complete the same work in 4 days. If A and C jointly complete the same work in x days while A and B jointly complete it in y days, what is the value of x/y ?Solution
Given: A completes work in 15 days → Work per day = 1/15 B completes work in 8 days → Work per day = 1/8 B & C together complete work in 4 days → Work per day = 1/4 C's Work per Day 
 A + C’s Work per Day 
 LCM of 15 and 8 = 120 : 
So, A + C complete work in: x = 120/23 A + B’s Work per Day 
So, A + B complete work in : y = 120/23 To find (x/y)Â 
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