13 men can complete a work in 23 days. If 17 men work at the same rate, in how many days will the work be completed? MCQ with Answer and Explanation
Question
Report Error
Discuss this Question (0)
Practice More Time and Work Questions
Question #1
Report Error
33 men can complete a work in 26 days. If 41 men work at the same rate, how many days are required?
Correct Answer: Option A
Explanation:
Total work = 858 man-days. Days = 20.93.
Total work = 858 man-days. Days = 20.93.
This question belongs to:
Maths
Time and Work
Question #2
Report Error
A can complete a work in 14 days and B can complete the same work in 34 days. If they work together, in how many days will the work be completed?
Correct Answer: Option D
Explanation:
Combined rate = 1/14 + 1/34. Time = 1 ÷ combined rate = 9.92 days.
Combined rate = 1/14 + 1/34. Time = 1 ÷ combined rate = 9.92 days.
This question belongs to:
Maths
Time and Work
Question #3
Report Error
A, B and C can complete a piece of work in 10, 12 and 15 days respectively. They started the work together, but A left after 2 days and B left 3 days before the completion of the work. Find the total duration of the work.
Correct Answer: Option A
Explanation:
Total work = LCM(10, 12, 15) = 60 units. Efficiency of A = 6, B = 5, C = 4. Let the work last for x days. A works for 2 days: work = 12 units. B works for (x - 3) days: work = 5(x - 3). C works for x days: work = 4x. Total work = 12 + 5x - 15 + 4x = 60 => 9x - 3 = 60 => 9x = 63 => x = 7 days.
Total work = LCM(10, 12, 15) = 60 units. Efficiency of A = 6, B = 5, C = 4. Let the work last for x days. A works for 2 days: work = 12 units. B works for (x - 3) days: work = 5(x - 3). C works for x days: work = 4x. Total work = 12 + 5x - 15 + 4x = 60 => 9x - 3 = 60 => 9x = 63 => x = 7 days.
This question belongs to:
Maths
Time and Work
No comments yet. Be the first to start the discussion!