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General

Easy

Question

# A and B can do a piece of work in 20 days and B in 15 days. They work together for 2 days and then A goes away. In how many days will B finish the remaining work?

Hint:

**Hint:**

When two quantities of different units are compared and expressed as a ratio, it is known as Rate. For example, a car travels at a speed of 100 kilometres per hour, then it means in one hour it covers 100 kilometres.

## The correct answer is: 13 1/2 days.

### Let’s say that the total work can be represented as W.

Step 1 of 3:

It is given that B can do the whole work(W) in 15 days.

So, work done by B in one day = ……(1)

It is given that A and B can do the work in 20 days

So, work done by A and B in one day =

Step 2 of 3:

It is given that A and B worked together for 2 days and then A goes away.

Work done by A and B in 2 days = =

Work left for B after A goes away = W - Work done by A and B in 2 days

= W -

= W -

Work left for B after A goes away =

Step 3 of 3:

Now, we need to find the number of days to complete amount of work.

From equation (1) time taken by B to complete work = 1 day

time taken by B to complete work =

Final Answer:

Hence, the time taken by B to complete the work after A after 2 days is 13 days.

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