Time and Work Practice Test 4 with solutions

Question : 17 of 40

Marks: +1, -0

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?

Solution:

Ratio of efficiency of A and B = 130 : 100 = 13 : 10
Hence, ratio of their time taken = 10 : 13
Then time taken by B to complete the work = 13 ×

{23}/{10}

{299}/{10}

So, (A + B)'s 1 day's work =

1/{23}+{10}/{229}

{23}/{299}

1/{13}

Hence, working together they will complete the job in 13 days.

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