Maths-

General

Easy

Question

# A and B can do a piece of work in 12 days; B and C in 15 days; C and A in 20 days. How much time will A alone take to finish the work?

Hint:

Maths-

General

Easy

Question

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.

Step 1 of 3:

It is given that A and B can do a piece of work in 18 days. So we can write

W

W

It is given that B and C can do a piece of work in 24 days. So we can write

W

W

It is given that A and C can do a piece of work in 36 days. So we can write

W

W

Step 2 of 3:

Now, adding equations (1), (2) and (3)

2(W

W

Putting the value of W

W

W

Step 3 of 3:

Now, we can say that time taken by A to complete amount of work = 1 day

So, the time taken by A to complete W amount of work = = 30 days

Final Answer:

Hence, the time that will A alone take to finish the work is 30 days.