A B and C have to complete a work They decide to divide work in the ratio 2 3 5 respectively Their r...........

Quantitative Aptitude ( CCS) Time and work

A, B and C have to complete a work. They decide to divide work in the ratio 2 : 3 : 5 respectively. Their rates of work is in the ratio 1 : 2 : 3. If it takes 12 days by A to complete his part of work, then how much of work can they complete in 8 days?

2/5

4/7

2/3

4/5

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Explanation:

Explanation:
Let total work = 2 +3 + 5 = 10
So A completes 2 units of work in 12 days, so whole 10 units he can do in 10/2 *12 = 60 days
Now ratio of their efficiencies = 1 : 2 : 3
So days ratio = 1/1 : 1/2 : 1/3 = 6 : 3 : 2
So 6x = 60, x = 10
So A can complete work in 60 days, B in 3*10 = 30 days, C in 2*10 = 20 days
So work together in 8 days = (1/60 + 1/30 + 1/20) * 8 = 4/5