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A is 40% more efficient than B. How much time will they take to work together to complete a job, which A alone could have done in 31 days?
Question

A is 40% more efficient than B. How much time will they take to work together to complete a job, which A alone could have done in 31 days?

A.

217/12 days

B.

515/32 days

C.

215/12 days

D.

517/32 days

Correct option is A

Given:
A is 40% more efficient than B.
A alone can complete the job in 31 days.
Formula Used:
Work Efficiency: Efficiency is inversely proportional to time.
Combined Efficiency of A and B when working together = Efficiency of A + Efficiency of B.
Time taken by A and B together to complete the work =Total WorkCombined Efficiency. \frac{\text{Total Work}}{\text{Combined Efficiency}}.  
Solution: 
A's efficiency is 40% more than B.
A’s efficiencyB’s effiecincy\frac{\text{A's efficiency}}{\text{B's effiecincy}}​ = 140100=75\frac{140}{100} = \frac{7}{5}​   





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