A farmer plows a field in 6 days using one tractor. A second tractor with 75% the capacity is added. Time to complete the field now?
Correct answer: C. 3.6
- A. 3.2
- B. 3.4
- C. 3.6
- D. 4
Explanation
The first tractor can plow the field in 6 days, giving it a work rate of 1/6 of the field per day. The second tractor has 75% of this capacity, resulting in a work rate of 1/8 of the field per day. Together, their combined work rate is 1/6 + 1/8 = 7/24 of the field per day. To find the total time to plow the field, calculate the reciprocal of the combined rate: 1 / (7/24) = 24/7, which is approximately 3.43 days. The closest approximation from the given options is 3.6 days, making Option C correct. Options A, B, and D do not accurately account for the combined work rate of the two tractors.
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 band rehearses 3 songs in 2 hours. To prepare for a show with 15 songs, how many hours are needed if they speed up by 25%?
A team of 5 people completes a wall mural in 10 days. If 2 people leave on day 3, how many total days are needed?
coding task takes 60 hours. If 3 programmers start and a 4th joins after 10 hours, how long will it take?
A mechanic repairs 2 bikes per hour. During an event, he works 3 hours longer than usual. If he fixes 20 bikes, what was his regular working time?
A group of bloggers aims to write 200 posts in 20 days. If 4 leave after 10 days from a team of 10, how many extra days are needed
A designer completes 3 logos in 4 hours. If she does 2 additional revisions per logo (each takes 20 minutes), total time for 5 logos is ?