A teacher works twice as fast as a student. If a student can complete 1/12th part of the work in a day, the number of days in which the teacher and the student can together finish the work is;
1). 4 days
2). 6 days
3). 8 days
4). 10 days
Given,
Student can complete (1/12th part of the work in a day
∴ Student can complete the work in 12 days.
? The teacher is twice as fast as the student
∴ The teacher can complete the work in 6 days.
∴ Part of work done by the teacher and the student together in a day
$(= \frac{1}{{12}} + \frac{1}{6})$
= (1 + 2)/12
= 1/4
∴ The teacher and student together can complete the work in 4 days