5 men can complete a work in 15 days. 6 women can complete the same work in 10 days. 4 boys can complete the same work in 12 days. 8 boys, 10 men and 12 women together can complete the same work in how many days?
Show answer & explanation
Correct answer: B
Explanation
Work done by 5 men in 1 day = 1/15
Work done by 1 man = 1/(15 × 5) = 1/75
Work done by 10 men = 10/75 = 2/15
Work done by 6 women = 1/10
Work done by 1 woman = 1/60
Work done by 12 women = 12/60 = 1/5
Work done by 4 boys = 1/12
Work done by 1 boy = 1/48
Work done by 8 boys = 8/48 = 1/6
Total work = 2/15 + 1/5 + 1/6
= 4/30 + 6/30 + 5/30
= 15/30
= 1/2
Time = 2 days