Question 67

Surya works 3 times as fast as Ramya and is able to complete a work in 40 days less than the number of days taken by Ramya. Find the time in which they can complete the work together.

Solution

Efficiency of Surya and Ramya = 3 : 1

Ratio of time taken = 1 : 3

Difference = 2 units = 40 days

1 units = 20 days

So, Ramya takes 60 days and Surya takes 20 days

Together they will complete the work = $$\frac{1}{20}+\frac{1}{60}=\frac{4}{60}=15\ days$$.


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