Question

Kiran can complete a task in 15 days. He works for 5 days and then leaves. If Venkat completes the remaining task in 30 days, then in how many days can Venkat alone complete the same task?

Options

• 45

• 50

• 40

• 48

Answer 1

45

Explanation:

From the question,

Kiran 10 days work = Venkat 30 days work

⇒ `"Kiran"/"Venkat" = 30/10`

⇒ `"Kiran"/"Venkat" = 3/1` efficiency

So, total work = 3 × 15 = 45

∴ Venkat work done (in days) = `45/1` = 45 days