General Aptitude › Time and Work › Question #4629
Single Choice Not Set

QIf A can complete a task in the same amount of time as B and C working together, and A and B can complete the task in 10 days while C can complete it in 50 days, how long will it take B to complete the task on their own?

ID: #4629 Time and Work 221 views
Question Info
#4629Q 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 15 days ✔ ✖
  • B 20 days ✔ ✖
  • C 25 days ✔ ✖
  • D 30 days ✔ ✖
Correct Answer

Explanation

If the work rate of A and B together is 1/10 of the task per day,
the work rate of C is 1/50 of the task per day,
and the combined work rate of A, B, and C is 1/6 of the task per day,
then the work rate of A is equal to the combined work rate of B and C.
Therefore, the work rate of B is (1/6 - 1/50) of the task per day,
or 1/25 of the task per day.
This means that B can complete the task in 25 days on their own

 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 do it in 15 days, and C and A can do it in 20 days. How long will it take them to complete the task i... 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 third day, how long will it take A to complete the task on their own... 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 at the same rate to paint three such walls?... 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 finish the remaining work alone, how many days will it take B to complete the entire work by themse... 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 for 4 days, the fraction of the work that remains to be completed is... 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 can finish in 20 days?... How much of the total payment of Rs. 150 received by Kim and David for completing a project together will be received by Kim, considering that Kim can complete the work individually in 3 days and David can comp... If Sakshi can complete a task in 20 days and Tanya is 25% more efficient than Sakshi, how long will it take Tanya to complete the same piece of work?... Varma can read a book in k minutes, and it takes him more than 8 minutes to read the entire book. What fraction of the book can he read in 8 minutes?...