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Question 51
A, B and C can do a piece of work in 20, 40 and 80 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?
Solution
AÂ can do a work in 20 days
B can do a work in 40 days
CÂ can do a work in 80 days
LCM of 80,40 and 20 is 80 units
Each day AÂ does 80/20 =4 units of work
Each day B does 80/40 =2 units of work
Each day C does 80/80 =1 unit of work
In first three days total wok=4+4+4+2+1=15 units
For 15 days total work=15*5=75 units of work is one
On 16th day 4 units is done and on 17th day (1/4)th day
So total 16.25 days
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