Pipe A fills 1/3 in 1 hour, B fills 1/4 in 1 hour. Time to fill tank?
Correct answer: C. 1.714 hours
- A. 2.5 hours
- B. 1.5 hours
- C. 1.714 hours
- D. 3 hours
Explanation
The correct answer is 1.714 hours. To find the time it takes for both pipes to fill the tank together, first calculate the rate at which each pipe fills the tank:Pipe A fills 1/3 of the tank in one hour, and Pipe B fills 1/4 of the tank in one hour.The combined rate of both pipes is (1/3 + 1/4) of the tank per hour. Find a common denominator to add these fractions:1/3 = 4/12 and 1/4 = 3/12. Therefore, the total rate is 4/12 + 3/12 = 7/12 of the tank per hour.To find the time to fill the whole tank, use the formula: Time = 1 ÷ Combined Rate = 1 ÷ (7/12) = 12/7 ≈ 1.714 hours.The other options are incorrect as they do not account for the correct combined rate of the pipes.
Last updated
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
439 free Logical Problems MCQs from Analytical and Logical Reasoning, each with the correct answer and an explanation. Unlimited attempts, no account needed.
Exams that ask Analytical and Logical Reasoning questions like this
Analytical and Logical Reasoning is on 24 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.
Related questions
24 - Correct. C does double the work → C = 2 units/day, A = 1 → If C finishes in 12, total = 24 units → A = 1/day → 24 days.
5 men can do a job in 20 days. How many men are needed to complete the job in 10 days?
8 workers complete a job in 6 days. How many are needed to complete it in 4 days?
A 3D designer renders an animation in 20 hours. If using a GPU that boosts speed by 40%, new render time is:
A alone can do a job in 12 days, B in 18 days. How long will they take together?