Please wait...
1800-212-7858 (Toll Free)
9:00am - 8:00pm IST all days

or

Thanks, You will receive a call shortly.
Customer Support

You are very important to us

For any content/service related issues please contact on this toll free number

022-62211530

Mon to Sat - 11 AM to 8 PM

A takes 6 days less than B to finish a piece of work. If both A and B

together can finish the work in 4 days, find the time taken by B to

finish the work.

Asked by Topperlearning User 7th November 2013, 3:55 AM
Answered by Expert
Answer:
Suppose B alone takes x days to finish the work. Then, A alone can finish it in (x - 6) days.

Now, (A's one day's work) + (B's one day's work) =

(A + B)'s one day's work =

Therefore,

8x - 24 = x2 - 6x

x2 - 14x + 24 = 0

x2 - 12x - 2x + 24 = 0

(x - 12) (x - 2) = 0

x = 12 or x = 2

But, x cannot be less than 6. So, x = 12.

Hence, B alone can finish the work in 12 days.

Answered by Expert 7th November 2013, 5:55 AM
Rate this answer
  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • 8
  • 9
  • 10

You have rated this answer /10

Your answer has been posted successfully!