__Time and Work Practice Problems – Set 5__**1. A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is:**

a) 1/4

b) 1/10

c) 7/15

d) 8/15

**Answer: D)**

**Solution:**

**2. A can lay railway track between two given stations in 16 days and B can do the same job in 12 days, with help of C, they did the job in 4 days only. Then, C alone can do the job in:**

a) 9(1/5)

b) 9(2/5)

c) 9(3/5)

d) 10

e) None of
these

**Answer: C)**

**Solution:**

**3. A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?**

a) 12 days

b) 15 days

c) 16 days

d) 18 days

e) None of
these

**Answer: B)**

**Solution:**

**4. A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in:**

a) 20 days

b) 22 1/2

c) 25 days

d) 30 days

e) None of
these

**Answer: B)**

**Solution:**

**5. A alone can do a piece of work in 6 days and B alone 8 days. A and B undertook to do it for Rs.3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?**

a) Rs.375

b) Rs.400

c) Rs.600

d) Rs.800

e) None of
these

**Answer: B)**

**Solution:**

**6. If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be:**

a) 4 days

b) 5 days

c) 6 days

d) 7 days

e) None of
these

**Answer: A)**

**Solution:**

**7. A can do a piece of work in 4 hours; B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it?**

a) 8 hours

b) 10 hours

c) 12 hours

d) 24 hours

e) None of
these

**Answer: C)**

**Solution:**

**8. A can do a certain work in the same time in which B and C together can do it. If A and B together could do it in 10 days and C alone in 50 days, then B alone could do it in:**

a) 15 days

b) 20 days

c) 25 days

d) 30 days

e) None of
these

**Answer: C)**

**Solution:**

**9. A does 80% of a work in 20 days. He then calls in B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work?**

a) 23 days

b) 37 days

c) 37 1/2

d) 40 days

e) None of
these

**Answer: C)**

**Solution:**

**10. A machine P can print one lakh books in 8 hours, machine Q can print the same number of books in 10 hours while machine R can print them in 12 hours. All the machines are started at 9 A.M. while machine P is closed at 11 A.M. and the remaining two machines complete work. Approximately at what time will the work (to print one lakh books) be finished?**

a) 11:30
A.M.

b) 12 noon

c) 12:30
P.M.

d) 1:00
P.M.

e) None of
these

**Answer: D)**

**Solution:**