Maths-

General

Easy

Question

# A, B and C can reap a field in 15 ¾ days; B, C and D in 14 days; C, D and A in 18 days; D, A and B in 21 days. In what time can A, B, C and D together reap it?

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, B and C can reap a field in 15 ¾ days or 15.75 days. So we can write

W

W

It is given that B, C and D can reap a field in 14 days. So we can write

W

W

It is given that C, D and A can reap a field in 18 days. So we can write

W

W

It is given that D, A and B can reap a field in 21 days. So we can write

W

W

Step 2 of 3:

Now, adding equations (1), (2), (3) and (4)

3(W

W

Step 3 of 3:

Let’s say the time taken by all of them to complete the work is t. So we can write

W

t(W

Using equation (4)

t = W

t = days = 12 days.

Final Answer:

Hence, the time taken by A, B, C and D together to reap the field is 12 days.