Question

A can do a task in 5 days, B in 6 days 7 C in 8 days for which they are paid Rs. 840. If they all

work together, how much money should each receive?​

Answer 1

Answer:

A will receive Rs.341.70

B will receive Rs.284.74

C will receive Rs.213.56

Step-by-step explanation:

A can do a task in 5 days

∴ Each day, A can complete $\frac{1}{5}$ part of the task.

B can do a task in 6 days

∴ Each day, B can complete $\frac{1}{6}$ part of the task.

C can do a task in 8 days

∴ Each day, C can complete $\frac{1}{8}$ part of the task.

When they work together,

Each day they can complete $(\frac{1}{5} + \frac{1}{6} + \frac{1}{8})$  $= \frac{24 + 20 + 15}{120} = \frac{59}{120}$ part of the task

A, B and C's contributions are in the ratio 24:20:15

∴ A contribute $\frac{24}{59}$ part.  So, he should receive $\frac{24}{59}$ of Rs.840 = Rs.341.70

∴ B contribute $\frac{20}{59}$ part.  So, he should receive $\frac{20}{59}$ of Rs.840 = Rs.284.74

∴ C contribute $\frac{15}{59}$ part.  So, he should receive $\frac{15}{59}$ of Rs.840 = Rs.213.56