A does half as much work as B in one third of the time taken by B If together they take 20 days to f...........

Quantitative Aptitude ( CCS) Time and work

A does half as much work as B in one third of the time taken by B. If together they take 20 days to finish the work then what will be the share of A if 1000 rupees is given for the whole work?

400

500

600

700

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Explanation:

Let B take x days to complete the work, then A will take = x/3 + x/3 = 2x/3 days (as half work is completed in one third of the time)
3/2x + 1/x = 1/20
X = 50. So A will complete the work in 100/3 days and B will complete the work in 50 days.
Ratio of work done by A and B – 3/100: 1/50 = 3:2
So A share = 3/5*1000 = 600