p and q can complete a work in 20 days and 12 days respectively. p alone started the work and q joined him after 4 days till the completion of the work. how long did the work last?
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P = 20 days
Q = 12 days
total work will be LCM of 20 and 12 = 60
P 1 day work = 1/20
P 4 day work = 4/20 = 1/5
P did 1/5 of work so remaining is 4/5
remaining work = 4/5 of 60 = 48 days work remaining
P and Q will do it in
1/20 + 1/12 = x/48
7/60 = x/48
x = 7*48 / 60
x = 5.6 days
so together they will finish the remaining work in 5.6 days
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