if a can complete a piece of work in 15 days and B can complete the same work in 12 days how many days will both of them take to complete the work
Answers
Work together :
- A complete a piece of work in 15 days
- B complete a piece of work in 12 days
First we take LCM of these numbers 12 , 15
so, LCM is 60 ( total work is 60 )
A complete whole work in 15 days and total work is 60
then A complete work in 1 day = 60/15 = 4 (efficiency of A )
B complete whole work in 12 days and total work is 60
then B complete work in 1 day = 60/12 = 5 (efficiency of B )
now in 1 day A and B together complete work = 4 + 5 = 9
so , total work = 60
A + B = 60/9 = 20/3 day
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Q.1.- If man A complete a piece of work in 12 days and the same work is completed by B and C in 15 days and 20 days respectively. In how many days the work is completed if they work together?
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