If A works alone for 4 days and B alone for 2, total = 1 task. Ratio of efficiency A:B?
Correct answer: A. 4:1
- A. 4:1
- B. 3:2
- C. 2:1
- D. 1:2
Explanation
To find the efficiency ratio of A to B, consider the total work done as 1 task. If A works alone for 4 days and B for 2 days, and together they complete 1 task, we set up the equation: 4A + 2B = 1. This implies that B performs work at rate x, and A performs work at rate 4x, leading to the equation 4(4x) + 2x = 1. Solving gives 18x = 1, hence x = 1/18. Thus, A's rate is 4/18 and B's rate is 1/18, simplifying the ratio of efficiencies A:B to 4:1. The other options are incorrect because they either imply a different total work done or suggest an incorrect comparison of efficiencies.
Report an error
The more specific you are, the faster it gets fixed. A source beats an opinion.
Prefer email? [email protected]
About Logical Problems
Logical problems present several conditions about people, objects, events or choices and require their possible arrangements to be tested. They cover constraint-based reasoning, rankings, matching, grouping, scheduling and elimination, with attention to the difference between a complete solution and a possibility that merely satisfies one condition.
Practise Logical Problems
519 free Logical Problems MCQs from Analytical and Logical Reasoning, each with the correct answer and an explanation. Unlimited attempts, no account needed.
Discussion
Stuck on an option, or know a faster way to get there? Ask or explain it here.
No comments yet. Be the first to explain this one.
Exams that ask Analytical and Logical Reasoning questions like this
Analytical and Logical Reasoning is on 27 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.
More Logical Problems questions
A fills tank in 5 hrs. B in 10 hrs. With a leak that empties 1/20/hr, fill time = ?
If A works 6 days, B works 8, and total done = 1. Work per day = ?
Work = 60 units. A does 5/day, B does 7/day. Time = ?
If B is 50% less efficient than A and they finish a job in 18 days together, A alone would take?
Pipe A fills in 8 hrs, B in 6. C empties in 12. Time to fill tank together?
One pipe fills in 4 hours, another empties in 5. Net fill time = ?