Question

X works 8 times faster than Z and takes 84 days less than to do a piece of work than Z.find out in how many days Z can complete a work?
1. 96 days
2. 84 days
3. 14 days
4. 56 days

Answer 1

Correct Answer - Option 1 : 96 days

Given:

X works 8 times faster than Z

Calculation:

Let Z completes a work in x days

So, X completes a work in x/8 days

According to question

x = (x/8) + 84

⇒ x - (x/8) = 84

⇒ 7x/8 = 84

⇒ x = (84 × 8)/7

⇒ x = 96 days

∴ Z completes a work in 96 days.