Multiple choice

If A can do half a work in 5 days and B can do one third of a work in 5 days. Then in how many days can both finish the complete work together ?

  1. 4

  2. 5

  3. 6

  4. 7

  5. 8
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

A does 1/2 in 5 days, so full work in 10 days. B does 1/3 in 5 days, so full work in 15 days. Combined rate = 1/10 + 1/15 = 3/30 + 2/30 = 5/30 = 1/6. Time = 6 days.

AI explanation

If A does half the work in 5 days, A requires 10 days for the full work, giving A a daily rate of one tenth of the work. If B does one third of the work in 5 days, B requires 15 days for the full work, giving B a daily rate of one fifteenth of the work. Adding their daily rates together gives one tenth plus one fifteenth, which equals one sixth of the work per day, meaning they finish the complete work in 6 days.

Keep practicing — related questions