# Kunal is 4 times efficient than Arun and Kunal can finish a work in 16 days, then how many days they take to complete the work, if both works together

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Kunal is 4 times efficient than Arun and Kunal can finish a work in 16 days, then how many days they take to complete the work, if both works together?
1. 25/6 days
2. 64/5 days
3. 24/9 days
4. 13/5 days

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Correct Answer - Option 2 : 64/5 days

Given:

Kunal's efficiency = (Arun's efficieny)/4

Calculation:

Arun completes work alone = 4 × 16 = 64 days

Work done by Kunal in 1 day = (1/16)

Work done by Arun in 1 day = (1/64)

Work done by Kunal and Arun in 1 day = (1/16) + (1/64)

⇒ (4 + 1)/64

⇒ 5/64

⇒ 64/5 days

Formula used

If X is ‘a’ times efficient than Y, and can complete work in y days, then formula for calculating the number of days, if both work together will be as follows:

[(ay)/(a + 1)] days

Calculation:

Number of days taken by Suman and Karan works together = [(4 × 16)/(4 + 1)]

⇒ 64/5 days