B is 20% efficient than A. B started the work & do it for x days. And then B is replaced by A. And A completed the remaining work in x+8 days. The ratio of work done by A & B is 3:2. In how many days A & B working together to complete the whole work?

1:

150/11 days

2:

140/13 days

3:

120/12 days

4:

100/33 days

5:

75/12 days

A's 1 day's work = 5 unit

B's 1 day's work = 120% A = 6unit

Work done by B = 6x unit

Work done by A = 5(x + 8) = 5x + 40 unit

As per Question:

$6x5x+40 $ = $23 $

10x + 80 = 18x

8x = 80

x = 10

Then;

Total work to be done = 6x + 5x + 40 = 150 unit

Time taken by A and B in completing the whole work together = $efficiencyofAandBtotalwork $ = $6+5150 $ = $11150 $days

This has been asked in Question Paper

SBI PO Prelims 2017

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