Multiple choice

A can do1/6 of work in 5 days and B can do 2/5of the work in 8 days.In how many days,can both A and B together do the work?

  1. 12 days

  2. 13 days

  3. 15 days

  4. 20 days
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

A does 1/6 work in 5 days, so A's rate = (1/6)/5 = 1/30 per day. B does 2/5 work in 8 days, so B's rate = (2/5)/8 = 1/20 per day. Combined rate = 1/30 + 1/20 = 2/60 + 3/60 = 5/60 = 1/12. So together they complete the work in 12 days.

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