Correct Answer - Option 2 : 4.6
Given:
Arjun is 15 times efficient than Ankit.
Ankit finish work in 75 days.
Calculation
Let the time taken by Arjun and Ankit together is x days
Arjun takes 5 days to complete a work(i.e 75/15)
Ankit takes 75 days to complete a work
According to question
Work done by Arjun in one day = 1/5
Work done by Ankit in one day = 1/75
Work done by Arjun and Ankit in one day = 1/x
⇒ (1/5) + (1/75) = 1/x
⇒ (15 + 1)/75 = 1/x
⇒ 16/75 = 1/x
⇒ 75/16 = x
⇒ 4.6 days = x
∴ Arjun and Ankit work together and completes work in 4.6 days.