 # SSC CPO Time and Work Quiz 4 5 Steps - 3 Clicks

# SSC CPO Time and Work Quiz 4

### Introduction

SSC CPO Time and Work Quiz 4 is important for exams such as IBPS, RRB, SBI, IPPB, LIC AAO, GIC AO, UIIC AO, NICL AO, etc. SSC CPO Time and Work Quiz 4 will help you to learn more and more concepts in Time and Work. SSC CPO Time and Work Quiz 4 study plan is to utilize time and hard work towards smart work efficiently.

### Quiz

1. A can do a piece of work in 10 days and B can do the same piece of work in 20 days. They start the work together but after 5 days. A leaves off B will do the remaining piece of work in?

A. 5 days
B. 6 days
C. 8 days
D. 10 days

Explanation:
(A +B)’s 5 days work = 5 ($$\frac{1}{10}$$ + $$\frac{1}{20}$$ ) = ¾

Remaining work =(1 – $$\frac{3}{4}$$ ) = $$\frac{1}{4}$$ $$\frac{1}{20}$$ work is done by B in 1 day.

Therefore, ¼ work is done by B in (20 x $$\frac{1}{4}$$ )i.e.., 5 days

2. A and B can together finish a work in 30 days. They worked for it for 20 days and then B left. The remaining work was done by A alone in 20 more days. Alone can finish the work in?

A. 48 days
B. 50days
C. 54 days
D. 60 days

Explanation:
(A+ B)’s 20 day’s work =(20 x $$\frac{1}{30}$$) = $$\frac{2}{3}$$

Remaining work = (1 – $$\frac{2}{3}$$) = $$\frac{1}{3}$$ $$\frac{1}{3}$$ work is done by A in 20 days

Whole work can be done by A in (3 x 20)days i.e.., 60 days

3. A can complete a job in 9 days. B in 10 days and C in 15 days. B and C start the work and are forced to leave after 2 days. The time taken to complete the remaining work is?

A. 6 days
B. 9 days
C. 10 days
D. 13 days

Explanation:

(B + C)’s 2 day’s work = 2 ($$\frac{1}{10}$$ + $$\frac{1}{15}$$) = $$\frac{1}{3}$$ Remaining work = (1 – $$\frac{1}{3}$$) = $$\frac{2}{3}$$ $$\frac{1}{9}$$ work is done by A in 1 day Therefore $$\frac{2}{3}$$ work is done by A in (9 x $$\frac{2}{3}$$) = 6 days

4. A, B and C together earn Rs.150 per day while A and C together earn Rs. 94 and B and C together earn Rs. 76. The daily earning of C is?

A. Rs. 75
B. Rs.56
C. Rs. 34
D. Rs.20

Explanation:
B’s daily earning = RS.(150 -94) = Rs. 56

A’s daily earning = Rs.(150 -76) = Rs.74

C’s daily earning = Rs.[150 – (56+74)] = Rs. 20

5. A can do a certain job in 12 days. B is 60% more efficient than A. Then Number of days it takes B to do the same piece of work is?

A. 6
B. 6 $$\frac{1}{4}$$
C. 7 $$\frac{1}{2}$$
D. 8

Explanation:
Ratio of times taken by A and B = 160 : 100 = 8 : 5

If A takes 8 days B takes 5 days

If A takes 12 days, B takes =($$\frac{5}{8}$$ x 12) = 7 $$\frac{1}{2}$$ days

1. A can do a piece of work in 80 days. He works at it for 10 days and then B alone finishes the work in 42 days. The Two together could complete the work in?

A. 24 days
B. 25 days
C. 30 days
D. 35 days

Explanation:
B’s 1 day’s work = = 5 ($$\frac{1}{20}$$
A’s 10 days work = (10 x $$\frac{1}{8}$$) = $$\frac{1}{8}$$

Remaining work = (1 – $$\frac{1}{8}$$) = $$\frac{7}{8}$$

Therefore 7/8 work is done by A in 42 days.

Whole work will be done by A in (42 x $$\frac{8}{7}$$)i.e.., 48 days

Therefore, (A+ B)’s 1 day work = ($$\frac{1}{80}$$ + $$\frac{1}{48}$$) = $$\frac{8}{240}$$ = $$\frac{1}{30}$$.

A and B together can finish it in 30days.

2. Mahesh and Umesh can complete a work in 10 days and 15 days respectively. Umesh starts the work and after 5 days Mahesh also joins him in all the work would be completed in

A. 7 days
B. 9 days
C. 11 days
D. None of these

Explanation:

Umesh’s 5 day’s work = 5 x $$\frac{1}{15}$$ = $$\frac{1}{3}$$

Remaining work = (1 – $$\frac{1}{3}$$) = $$\frac{2}{3}$$ ($$\frac{1}{10}$$ + $$\frac{1}{15}$$) work is done by both in 1 day

Therefore 2/3 work is done by both in (6 x $$\frac{2}{3}$$) = 4days.

The work was completed in 9 days

3. Twelve men can complete a work in 8 days. Three days after they started the work, 3 more men joined them. In how many days will all of them together complete remaining work?

A. 2
B. 4
C. 5
D. 6

Explanation:
1 man’s one day’s work = $$\frac{1}{96}$$ 12 men’s 3 day’s work = (3 x $$\frac{1}{8}$$) = $$\frac{3}{8}$$

Remaining work = (1 – $$\frac{3}{8}$$) = $$\frac{5}{8}$$ 15 men’s 1 day’s work = $$\frac{15}{96}$$

Now 15/96 work is done by them in 1day

Therefore 5/8 work will be done by them in ($$\frac{96}{15}$$ x $$\frac{5}{8}$$) i.e., 4 days

4. A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days?

A. 11 days
B. 13 days
C. 20 $$\frac{3}{7}$$ days
D. None of these

Explanation:
Ratio of times taken by A and B = 100:130 = 10:13

Suppose B takes x days to do the work.
x = $$\frac{(23 * 13)}{10}$$ = $$\frac{299}{10}$$
A’s 1 day work = $$\frac{1}{23}$$; B’s 1 day work = $$\frac{10}{299}$$
(A + B)’s 1 day work = ($$\frac{1}{23}$$ + $$\frac{10}{299}$$) = $$\frac{1}{13}$$
A and B together can complete the job in 13 days.

5. A can finish a work in 18 days 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 $$\frac{1}{15}$$
C. 6
D. 8

Explanation:
B’s 10 day’s work = $$\frac{1}{15}$$* 10 = $$\frac{2}{3}$$

Remaining work = (1 – $$\frac{2}{13}$$) = $$\frac{1}{3}$$
Now, 1/18 work is done by A in 1 day.
1/3 work is done by A in (18 * $$\frac{1}{3}$$) = 6 days.

1. X and Y can do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did the work last?

A. 6 days
B. 10 days
C. 15 days
D. 20 days

Explanation:
Work done by X in 4 days = ($$\frac{1}{20}$$ * 4) = $$\frac{1}{5}$$

Remaining work = (1 – $$\frac{1}{5}$$) = $$\frac{4}{5}$$
(X + Y)’s 1 day work = ($$\frac{1}{20}$$ + $$\frac{1}{12}$$) = $$\frac{2}{15}$$
Now, $$\frac{2}{15}$$ work is done by X and Y in 1 day.
So, $$\frac{4}{5}$$ work will be done by X and Y in ($$\frac{15}{2}$$ * $$\frac{4}{5}$$) = 6 days.
Hence, total time taken = (6 + 4) = 10 days.

2. A can do a price of work in 30days while B can do it in 40 days. In how many days can A and B working together do it?

A. 70 Days
B. 42 $$\frac{3}{4}$$ Days
C. 27 $$\frac{1}{7}$$ Days
D. 17 $$\frac{1}{7}$$ Days

Explanation:
(A +B)’s 1 day’s work = ($$\frac{1}{30}$$ + $$\frac{1}{40}$$) = $$\frac{7}{120}$$

Time is taken by both to finish the work = $$\frac{120}{7}$$ days

= 17 $$\frac{1}{7}$$ days.

3. A and B can together do a price of work in 15 days. B alone can do it in 20 days. In how many days can A alone do it?

A. 30 days
B. 40 days
C. 45 days
D. 60days

Explanation:

A’s 1 day’s work = ($$\frac{1}{15}$$ – $$\frac{1}{20}$$) = $$\frac{1}{60}$$

Therefore, A alone can finish = 60 days

4. Ronald and Elan are working on an assignment. Ronald takes 6 hrs to type 32 pages on a computer, while Elan takes 5 hrs to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?

A. 7 hrs 30 min
B. 8 hrs
C. 8 hrs 15 min
D. 8 hrs 25 min

Explanation:
Number of pages typed by Ronald in 1 hour = $$\frac{32}{6}$$ = $$\frac{16}{3}$$

Number of pages typed by Elan in 1 hour = $$\frac{40}{5}$$ = 8
Number of pages typed by both in 1 hour = ($$\frac{16}{3}$$ + 8) = $$\frac{40}{3}$$
Time taken by both to type 110 pages = (110 * $$\frac{3}{40}$$) = 8 $$\frac{1}{4}$$ = 8 hrs 15 min

5.Sakshi can do a piece of work in 20 days. Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work is?

A. 15
B. 16
C. 18
D. 25

Explanation:
Ratio of times taken by Sakshi and Tanys = 125:100 = 5:4

Suppose Tanya takes x days to do the work.
5:4 :: 20:x => x= 16 days.
Hence, Tanya takes 16 days to complete the work.