Question

An experienced employee can enter tax data into a computer two times as fast as a new employee. Working​ together, it takes the employees 12 hr. How long would it take the experienced employee working​ alone?

Answer 1

Answer: 18 hours

Explanation:

Rate of work of experienced employee = 1/X

Rate of work of new employee = 1/2X

Rate of work of both employees = 1/X + 1/2X = 1/12 hours

2+1/2X = 1/12 hours

3/2X = 1/12 hours

(2/3) X = 12 hours

X = 12 × 3/2

X = 18 hours