Arithmetic Aptitudes → Time and Work → MCQ Details
MCQ Practice Single Best Answer Topic: Time and Work

Q 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 if they work together, and how long would it take A to complete the task on their own ?

Question ID
#4619
Subchapter
Time and Work
Action
Choose one option below

Choose Your Answer

Click an option to check whether your answer is correct.

  • A 30 ✔ ✖
  • B 36 ✔ ✖
  • C 40 ✔ ✖
  • D 42 ✔ ✖
Correct Answer: A

Explanation

(A+B)'s 1 day work = 1/12,
(B+C)'s 1 day work = 1/15,
(C+A)'S 1 day work = 1/20
Including: 2(A+B+C)'s 1 day work = (1/12+ 1/15+ 1/20)= 12/60 = 1/5
∴ (A+B+C) `s 1 day work = (1/2 *1/5) = 1/10
∴ working together they can complete the work in 10 days.
A's 1 day work = (1/10-1/15) = 1/30, B`s 1 day work = (1/10-1/20) = 1/20
C's 1 day work = (1/10-1/12) = 1/60
∴ A alone can take the necessary steps in 30 days

Related Topics

Explore more questions from similar topics.

Alligation or Mixture Area Average Bankers Discount Bar Charts Boats and Streams Calendar Chain Rule Clock Compound Interest Decimal Fraction Height and Distance Line Charts Logarithm Numbers Odd Man Out and Series Partnership Percentage Permutation and Combination Pipes and Cistern Probability Problems on Ages Problems on H.C.F and L.C.M Problems on Numbers Problems on Trains Profit and Loss Races and Games Ratio and Proportion Simple Interest Simplification Square Root and Cube Root Stocks and Shares Surds and Indices Time and Distance Time and Work True Discount Volume and Surface Area

Share This Question

Share this MCQ with your friends or study group.