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A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of work that is left is:
Question

A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of work that is left is:

A.

110\frac{1}{10}​​

B.

715\frac{7}{15}​​

C.

815\frac{8}{15}​​

D.

14\frac{1}{4}​​

Correct option is C

Given:

A can do a work in 15 days and B in 20 days

They work on it together for 4 days

Formula used:

Total work = Number of days × 1 day's work (Efficiency)

Calculation:

∴ Total work = LCM (15, 20) = 60 unit

1 day's work of A = 60/15 = 4 unit

1 day's work of B = 60/20 = 3 unit

1 day's work of (A + B) together = 4 + 3 = 7 unit

Now,

They work on it together for 4 days

∴ Total work completed in 4 days = 4 × 7 = 28 unit

Work left = 60 - 28 = 32

The fraction of work left 3260=815\frac{32}{60} = \frac{8}{15}​​

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