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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?

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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?

A). 13 days

B). 24 days

C). 37 days

D). 45 days


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Answered by on | Votes -1 |

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

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