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Time & Work

A, B and C ca...

Question

A, B and C can separately do a work in 12, 15 and 20 days respectively. They started to work together but C left after 2 days. The remaining work will be finished in how many days?

4 days

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6 days

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8 days

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10 days

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12 days

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Solution

The correct option is A
4 days

Let the remaining work be done in x no. of days. Then,

$\frac{x + 2}{12} + \frac{x + 2}{15} + \frac{2}{20} = 1$
$\Rightarrow (x + 2) \times \frac{9}{60} = 1 - \frac{1}{10}$
$\Rightarrow x = 4$

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A, B and C can separately do a work in 12, 15 and 20 days respectively. They started to work together but C left after 2 days. The remaining work will be finished in how many days?

The correct option is A 4 days Let the remaining work be done in x no. of days. Then, x+212 + x + 215 + 220 = 1 ⇒ (x + 2) × 960 = 1 − 110 ⇒ x = 4

The correct option is A
4 days

Let the remaining work be done in x no. of days. Then,

$\frac{x + 2}{12} + \frac{x + 2}{15} + \frac{2}{20} = 1$
$\Rightarrow (x + 2) \times \frac{9}{60} = 1 - \frac{1}{10}$
$\Rightarrow x = 4$