If A alone does the work in 46 days. How much time will A and B take together…
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If A alone does the work in 46 days. How much time will A and B take together to complete the job, given that A is 30% more efficient than B ?
- A.
26 days
- B.
24 days
- C.
22 days
- D.
20 days
Attempted by 15 students.
Show answer & explanation
Correct answer: A
Answer: 26 days
Let B's daily work be r. Then A's daily work = 1.3r (A is 30% more efficient than B).
Total work = A's rate × 46 days = 1.3r × 46 = 59.8r.
Combined daily work of A and B = 1.3r + r = 2.3r.
Time taken together = total work ÷ combined rate = (59.8r) ÷ (2.3r) = 59.8 / 2.3 = 26 days.
Therefore, A and B together will complete the job in 26 days.