SSC CGL 19 Oct 2014 Shift 2 Paper

Question : 109 of 200

Marks: +1, -0

A takes three times as long as B and C together to do a job. B takes four times as long as A and C together to do the work. If all the three, working together can complete the job in 24 days, then the number of days, A alone will take to finish the job is

Validate

Solution:

Time taken by B and C = x days (let)
∴ Time taken by A = 3x days
∴ Part of work done by A, B and C in 1 day
=

1/x+1/{3x}

{3+1}/{3x}

4/{3x}

∴

4/{3x}

1/{24}

⇒ 3x = 4 × 24
⇒ x =

{4×24}/3

= 32 days
∴ Time taken by A = 32 × 3
= 96 days

Go to Question:

Prev Question

Next Question