A Is Thrice As Good As Workman As B And Therefore Is Able To Finish A

1.	A Is Thrice As Good As Workman As B And Therefore Is Able To Finish A Job In 60 Days Less Than B. Working Together, They Can Do It In?
Answer» Let B takes x days to complete the job. Since A is 3 times better than B, A takes ONE third of the time taken by B. So, A can FINISH the job in x/3 days. Given that time taken by A to complete the WORK is 60 days less than that of B So, x/3 = x - 60. => x = 90. So, B does the job in 90 days and A does in (90-60) days = 30 days. Fraction of job done by A in 1 day = 1/30 and fraction of job done by B in 1 day = 1/90. When WORKING together, work done by A and B in 1 day = 1/30 + 1/90 = 2/45. So, total time taken by A and B to complete the work together = 45/2. Let B takes x days to complete the job. Since A is 3 times better than B, A takes one third of the time taken by B. So, A can finish the job in x/3 days. Given that time taken by A to complete the work is 60 days less than that of B So, x/3 = x - 60. => x = 90. So, B does the job in 90 days and A does in (90-60) days = 30 days. Fraction of job done by A in 1 day = 1/30 and fraction of job done by B in 1 day = 1/90. When working together, work done by A and B in 1 day = 1/30 + 1/90 = 2/45. So, total time taken by A and B to complete the work together = 45/2.

A Is Thrice As Good As Workman As B And Therefore Is Able To Finish A Job In 60 Days Less Than B. Working Together, They Can Do It In?

Answer»

Let B takes x days to complete the job.

Since A is 3 times better than B, A takes ONE third of the time taken by B.

So, A can FINISH the job in x/3 days.

Given that time taken by A to complete the WORK is 60 days less than that of B

So, x/3 = x - 60.

=> x = 90.

So, B does the job in 90 days and A does in (90-60) days = 30 days.

Fraction of job done by A in 1 day = 1/30 and fraction of job done by B in 1 day = 1/90.

When WORKING together, work done by A and B in 1 day = 1/30 + 1/90 = 2/45.

So, total time taken by A and B to complete the work together = 45/2.

Let B takes x days to complete the job.

Since A is 3 times better than B, A takes one third of the time taken by B.

So, A can finish the job in x/3 days.

Given that time taken by A to complete the work is 60 days less than that of B

So, x/3 = x - 60.

=> x = 90.

So, B does the job in 90 days and A does in (90-60) days = 30 days.

Fraction of job done by A in 1 day = 1/30 and fraction of job done by B in 1 day = 1/90.