Arithmetic Aptitudes › Time and Work › Question #4639
Single Choice Not Set

Q If A and B can complete a work in 8 days, B and C can complete it in 12 days, and A, B, and C can finish it in 6 days, how long will it take A and C to complete the work together?

ID: #4639 Time and Work 166 views
Question Info
#4639Q ID
Not SetDifficulty
Time and WorkTopic
Start Quiz on This Topic
 Your Answer

Choose the Best Option

Click any option to instantly check if you're correct.

  • A 13 ✔ ✖
  • B 16 ✔ ✖
  • C 8 ✔ ✖
  • D 5 ✔ ✖
Correct Answer

Explanation

If the combined work rate of A, B, and C is 1/6 of the task per day,
the work rate of A and B is 1/8 of the task per day,
and the work rate of B and C is 1/12 of the task per day,
then the work rate of A and C is
(2 x 1/8 - 1/12) of the task per day,
which is equal to 1/8 of the task per day.
Therefore, A and C will take 8 days to complete the work together

 Continue Practice
Previous Question Next Question
 Share

Share This Question

Challenge a friend or share with your study group.

 More from This Topic

Related MCQ Questions

A, B, and C can each complete a task in different amounts of time. A and B can do it in 12 days, B and C can d If 6 women or 17 men can paint a wall in 33 days, how many days would it take for 12 women and 32 men working If A, B, and C can complete a task in 20, 30, and 60 days respectively, and A is assisted by B and C every thi If A can complete a work in 15 days and B can complete the same work in 20 days, and they work on it together If A and B can complete a piece of work together in 30 days, and after A works for 16 days, B takes 44 days to How long will it take 8 men and 16 women to reap a field, given that 12 men or 18 women can do it in 14 days? How many days will Tanya, who is 25% more efficient than Sakshi, take to complete a piece of work that Sakshi How much of the total payment of Rs. 150 received by Kim and David for completing a project together will be r Varma can read a book in k minutes, and it takes him more than 8 minutes to read the entire book. What fractio If Sakshi can complete a task in 20 days and Tanya is 25% more efficient than Sakshi, how long will it take Ta