Maths-

General

Easy

Question

# A can do a piece of work in 40 days and B in 45 days. They work together for 10 days and then B goes away. In how many days will A 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: 21 1/9 days.

### Let’s say that the total work can be represented as W and let’s say the amount of work that A can do in one day is W_{A} and the amount of work that B can do in one day is W_{B}.

Step 1 of 3:

It is given that A can do the whole work(W) in 40 days.

So, work done by A in one day (W_{A})= ……(1)

It is given that B can do the whole work(W) in 45 days.

So, work done by B in one day (W_{B})= ……(2)

Step 2 of 3:

It is given that A and B worked together for 10 days and then B goes away.

So, work done by A and B in 10 days = W_{A} 10 + W_{B} 10

= 10 + 10

=

Work left for A after B goes away = W - work done by A and B in 10 days

= W -

=

Step 3 of 3:

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

time taken by B to complete

Final Answer:

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

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