# Aptitude - Time and Work

### Exercise :: Time and Work - General Questions

11.

A can finish a work in 18 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how many days, A alone can finish the remaining work?

A. 5
B.

 5 1 2

C. 6
D. 8

Explanation:

 B's 10 day's work = 1 x 10 = 2 . 15 3

 Remaining work = 1 - 2 = 1 . 3 3

 Now, 1 work is done by A in 1 day. 18 1 work is done by A in 18 x 1 = 6 days. 3 3

12.

4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?

 A. 35 B. 40 C. 45 D. 50

Explanation:

Let 1 man's 1 day's work = x and 1 woman's 1 day's work = y.

 Then, 4x + 6y = 1 and 3x + 7y = 1 . 8 10

 Solving the two equations, we get: x = 11 , y = 1 400 400 1 woman's 1 day's work = 1 . 400 10 women's 1 day's work = 1 x 10 = 1 . 400 40

Hence, 10 women will complete the work in 40 days.

13.

A and B can together finish a work 30 days. They worked together for 20 days and then B left. After another 20 days, A finished the remaining work. In how many days A alone can finish the work?

 A. 40 B. 50 C. 54 D. 60

Explanation:

 (A + B)'s 20 day's work = 1 x 20 = 2 . 30 3

 Remaining work = 1 - 2 = 1 . 3 3

 Now, 1 work is done by A in 20 days. 3

Therefore, the whole work will be done by A in (20 x 3) = 60 days.

14.

P can complete a work in 12 days working 8 hours a day. Q can complete the same work in 8 days working 10 hours a day. If both P and Q work together, working 8 hours a day, in how many days can they complete the work?

A.
 5 5 11
B.
 5 6 11
C.
 6 5 11
D.
 6 6 11

Explanation:

P can complete the work in (12 x 8) hrs. = 96 hrs.

Q can complete the work in (8 x 10) hrs. = 80 hrs. P's1 hour's work = 1 and Q's 1 hour's work = 1 . 96 80

 (P + Q)'s 1 hour's work = 1 + 1 = 11 . 96 80 480

 So, both P and Q will finish the work in 480 hrs. 11 Number of days of 8 hours each = 480 x 1 = 60 days = 5 5 days. 11 8 11 11

15.

10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work?

 A. 3 B. 5 C. 7 D. Cannot be determined E. None of these

Explanation:

 1 woman's 1 day's work = 1 70

 1 child's 1 day's work = 1 140

 (5 women + 10 children)'s day's work = 5 + 10 = 1 + 1 = 1 70 140 14 14 7 5 women and 10 children will complete the work in 7 days.