Pari needs 4 hours to complete a work. His friend Yuvan needs 6 hours

1.	Pari needs 4 hours to complete a work. His friend Yuvan needs 6 hours to complete the same work. How long will be take to complete if they work together?
Answer» Let the work done by Pari and Yuvan together be x Work done by part = 1/4 Work done by Yuvan = 1/6 By the given condition 1/4 + 1/6 = 1/x ⇒ (3 + 2)/12 = 1/x 5/12 = 1/x 5x = 12 ⇒ x = 12/5 x = 2(2/5) hours (or) 2 hours 24 minutes

Pari needs 4 hours to complete a work. His friend Yuvan needs 6 hours to complete the same work. How long will be take to complete if they work together?

Answer»

Let the work done by Pari and Yuvan together be x

Work done by part = 1/4

Work done by Yuvan = 1/6

By the given condition

1/4 + 1/6 = 1/x ⇒ (3 + 2)/12 = 1/x

5/12 = 1/x

5x = 12 ⇒ x = 12/5

x = 2(2/5) hours (or) 2 hours 24 minutes