33 men can complete a work in 26 days. If 41 men work at the same rate, how many days are required? MCQ with Answer and Explanation
Question
Report Error
Discuss this Question (0)
Practice More Time and Work Questions
Question #1
Report Error
A, B and C can complete a piece of work in 10, 15 and 20 days respectively. They started together but A left after 2 days and B left 2 days before the completion of the work. Find the total number of days taken to complete the work.
Correct Answer: Option D
Explanation:
Total work = LCM(10, 15, 20) = 60 units. Efficiency of A = 6, B = 4, C = 3. Let the total work last for x days. A worked for 2 days, so work done = 2 * 6 = 12 units. Remaining work = 60 - 12 = 48 units. B worked for (x - 2) days and C worked for x days. Therefore, 4(x - 2) + 3x = 48 => 4x - 8 + 3x = 48 => 7x = 56 => x = 8 days.
Total work = LCM(10, 15, 20) = 60 units. Efficiency of A = 6, B = 4, C = 3. Let the total work last for x days. A worked for 2 days, so work done = 2 * 6 = 12 units. Remaining work = 60 - 12 = 48 units. B worked for (x - 2) days and C worked for x days. Therefore, 4(x - 2) + 3x = 48 => 4x - 8 + 3x = 48 => 7x = 56 => x = 8 days.
This question belongs to:
Maths
Time and Work
Question #2
Report Error
10 men can complete a work in 22 days. If 15 men work at the same rate, the work will be completed in:
Correct Answer: Option D
Explanation:
Total work = 220 man-days. Time = 220/15 = 14.67 days.
Total work = 220 man-days. Time = 220/15 = 14.67 days.
This question belongs to:
Maths
Time and Work
Question #3
Report Error
17 men can complete a work in 20 days. If 25 men work at the same rate, how many days are required?
Correct Answer: Option D
Explanation:
Total work = 340 man-days. Days = 13.6.
Total work = 340 man-days. Days = 13.6.
This question belongs to:
Maths
Time and Work
No comments yet. Be the first to start the discussion!