Question 45
Abhay can complete a piece of work in 18 days, Balram in 20 days and Chandan in 30days. Balram and Chandan started the work but were forced to leave after 2 days. How many days will Abhay take to complete the remaining work alone?
Solution
LCM(18, 20, 30)= 180
Let total work be 180 units
Abhay can complete the work in 18 days which means in one day he does 10 units of work.
Balram can complete the work in 20 days which means in one day he does 9 units of work.
Chandan can complete the work in 30 days which means in one day he does 6 units of work.
Let the remaining work done by A be x days
Therefore, 180 = 2(9+6) + 10x
10x = 150
x= 15 days
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