A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days?
papay dey Answered question February 15, 2025
🕒 Work and Time Calculation 🕒
A’s work rate = 1/23 (work done per day)
Since A is 30% more efficient than B, B’s work rate is:
B’s work rate = A’s work rate / 1.3
= (1/23) / 1.3
= 1/29.9 (work done per day)
Combined work rate of A and B = A’s work rate + B’s work rate
= 1/23 + 1/29.9
= (29.9 + 23) / (23 × 29.9)
= 52.9 / 687.7
= 1/13 (work done per day)
Time taken by A and B to complete the work = 1 / Combined work rate
= 1 / (1/13)
= 13 days
🎉 A and B, working together, will take 13 days to complete the job. 🕒
papay dey Answered question February 15, 2025