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When A and B work together they take 20 days to complete the piece of work. When A works alone he takes 28 days. B gets a share of Rs. 600 when they work together. What is the total amount they receive?

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When A and B work together they take 20 days to complete the piece of work. When A works alone he takes 28 days. B gets a share of Rs. 600 when they work together. What is the total amount they receive?
1). Rs. 1,500
2). Rs. 1,600
3). Rs. 1,800
4). Rs. 2,100


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Answered by on | Votes 0 |

A’s one day’s work $(= \frac{1}{{28}})$

A and B’s one day’s work $(= \frac{1}{{20}})$

B’s one day’s work $(= \frac{1}{{20}} - \frac{1}{{28}} = \frac{1}{{70}})$

(A’s one day’s work) ? (B’s one day’s work) $(= \frac{1}{{28}}:\frac{1}{{70}} = 5:2)$

B’s share is Rs. 600

Let 5x, 2x be A and B’s share.

∴ 2x = 600

∴ x = 300

A’s share = 5x = Rs. 1,500

Total share = 1500 + 600 = Rs. 2,100

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