Question

John can do three times as much work as Tom . they together finish a work in 14 days .In how many days can John alone finish the work.

Answer 1

Step-by-step explanation:

John will complete the worn in 56/3 days

Answer 2

John can finish the work in 18.67 days.

Step-by-step explanation:

John can do three times as much work as Tom.

So, if John can do a work in x days then Tom can do the same work in 3x days.

Now, together they can do in one day $(\frac{1}{x} + \frac{1}{3x})$ amount of work.

Therefore, we can write the equation from the given conditions that,

$(\frac{1}{x} + \frac{1}{3x}) = \frac{1}{14}$

⇒ 14(3 + 1) = 3x

⇒ 3x = 56

⇒ x = 18.67 days.

Therefore, John can finish the work in 18.67 days. (Answer)