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?
A). 13 days
B). 24 days
C). 37 days
D). 45 days
13 days
The ratio of their efficiency = A : B = 130 : 100 = 13 : 10
Therefore, the ratio of the time taken by them = 10 : 13
A takes 23 days = 10 units of ratio
So, 1 unit of ratio = 23/10
Time taken by B alone to finish the work = 23/10 ×13 = 29.9 = 30 days
Therefore, the No. of days taken to finish the work working together = 23 × 30/ 53
= 13 days