Question discussion

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?

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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?
  • A13 days
  • B24 days
  • C37 days
  • D45 days
Correct answer: A

Discussion 1

0
CCommunity
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