A and B can do a piece of work in 15 days B and C can the same work in 10 days and A and C can do th...........

Quant (SSC) Time and work

A and B can do a piece of work in 15 days. B and C can the same work in 10 days and A and C can do the same in 12 days. Time taken by A, B and C together to do the job is

8 days

9 days

4 days

5 days

छोटे Courses बड़े Results

Master Time and work

Prepare through Micro-courses

Try Now

Explanation:

To solve this question we can apply a short trick approach
A, B & C done the job
= 2xyz /xy + yz + zx
Where,
x is the work done by A and B together = 15 days
y is the work done by B and C together = 10 days
z is the work done by C and A together = 12 days
By the short trick approach, we get
A, B & C done the job
= 2 × 15 × 10 × 12 /15 × 10 + 10 × 12 + 12 × 15
= 2 × 15 × 10 × 12 /150 + 120 + 180
= 2 × 15 × 10 × 12 /450 = 8 days