A and B together can do a piece of work in 9 days. If A does thrice the work of B in a given time, how many days will A alone take to complete the total work? MCQ with Answer and Explanation
Question
Report Error
Discuss this Question (0)
Practice More Time and Work Questions
Question #1
Report Error
11 men can complete a work in 21 days. If 15 men work at the same rate, in how many days will the work be completed?
Correct Answer: Option B
Explanation:
Total work = 11 × 21 = 231 man-days. Required days = 231/15 = 15.4 days.
Total work = 11 × 21 = 231 man-days. Required days = 231/15 = 15.4 days.
This question belongs to:
Maths
Time and Work
Question #2
Report Error
A is twice as fast as B and B is thrice as fast as C. If C alone can complete the work in 24 days, in how many days can they together finish the work?
Correct Answer: Option C
Explanation:
Let efficiency of C = 1. Then efficiency of B = 3 * 1 = 3. Efficiency of A = 2 * 3 = 6. Total work = Efficiency of C * Time of C = 1 * 24 = 24 units. Combined efficiency of A, B and C = 6 + 3 + 1 = 10. Time taken together = 24 / 10 = 2.4 days.
Let efficiency of C = 1. Then efficiency of B = 3 * 1 = 3. Efficiency of A = 2 * 3 = 6. Total work = Efficiency of C * Time of C = 1 * 24 = 24 units. Combined efficiency of A, B and C = 6 + 3 + 1 = 10. Time taken together = 24 / 10 = 2.4 days.
This question belongs to:
Maths
Time and Work
Question #3
Report Error
8 men can complete a work in 12 days. If 12 men work at the same rate, in how many days will the work be completed?
Correct Answer: Option A
Explanation:
Total work = 8 × 12 = 96 man-days. Required days = 96/12 = 8.0 days.
Total work = 8 × 12 = 96 man-days. Required days = 96/12 = 8.0 days.
This question belongs to:
Maths
Time and Work
No comments yet. Be the first to start the discussion!