The labour A, B, C were given a contract of 750 for doing certain piece of work.All three can finish the work in 8 days.A and c can together finish the work in 12 days while A and B can do it 13(1/3) days.The money will divide in the ratio
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 4 : 5 : 6
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Understanding |
Application |
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A, B and C together can finish the work in 8 days, A and C together can finish it in 12 days while A and B can finish it in 13 (1/3) days. |
So, Total work = LCM of 8, 12 and 40/3 = 120 units |
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Suppose a, b and c are the efficiencies of A, B and C |
So, (a + b + c) = 120/8 = 15 (a + c) = 120/12 = 10 And (a + b) = 120/(40/3) = 9 |
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From both the equations: |
⇒ c = 15 – 9 = 6 ⇒ a = 10 – 6 = 4 And b = 9 – 4 = 5 |
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The money will be divided according to the efficiency only |
So, Required ratio = 4 : 5 : 6 |