Question

A,B and C can do one work in 10 days and B and C both can do one work in 15 days . In how many days did Only A can do that work alone . ​

Answer 1

A can finish the work in ten days

Answer 2

Required Answer:-

Given:

• A, B and C can do one work in 10 days.
• B and C can do one work in 15 days.

To find:

• Time taken by A to do the work alone.

Solution:

Let total work be 1.

A, B and C can do one work in 10 days.

➡ One day work of A, B and C will be = 1/10

B and C can do one work in 15 days.

➡ One day work of B and C = 1/15

So,

➡ One day work of A = (One day work of A, B and C) - (One day work of B and C)

= 1/10 - 1/15

= (3 - 2)/30

= 1/30

So, time taken by A to complete the work alone,

= 1 ÷ 1/30

= 30 days.

★ Hence, A alone completes the work in 30 days.

Answer:

• A alone completes the work in 30 days.