ExamVeda
Login
Home

Time And Work - Aptitude MCQ Questions and Solutions with Explanations

Time And Work MCQ Questions and answers with easy and logical explanations.Arithmetic Ability provides you all type of quantitative and competitive aptitude mcq questions on Time And Work with easy and logical explanations. Time And Work MCQ is important for exams like Banking exams,IBPS,SCC,CAT,XAT,MAT etc. Page-10 section-3

Each section contains 100 MCQs on Time and Work .
91
A is twice as good a workman as B and together they finish a piece of work in 22 days. In how many days will A alone finish the same work?
Discuss
Answer & Solution
Answer: Option D
Solution:
\[\begin{array}{*{20}{c}} {}&A&B \\ {{\text{Efficiency}}}&2&1 \end{array}\]
$$\eqalign{ & {\text{Total work}} = 3 \times 22 = 66 \cr & A \to \frac{{66}}{2} = 33{\text{ days}} \cr} $$
92
A alone can do $$\frac{2}{5}$$ of a work in 12 days. B is 25 percent more efficient than A. C alone can do the same work in 12 days less than B. D is 25 percent less efficient than C. If they all work together, then the work will be completed in how many days?
Discuss
Answer & Solution
Answer: Option B
No explanation is given for this question. Let's Discuss on Board
93
4 men and 5 women can complete a work in 15 days, whereas 9 men and 6 women can do it in 10 days. To complete the same work in 7 days, how many women should assist 4 men?
Discuss
Answer & Solution
Answer: Option D
Solution:
(4M + 5W) × 15 = (9M + 6W) × 10
12M + 15W = 18M + 12W
$$\frac{{\text{M}}}{{\text{W}}} = \frac{1}{2}$$
(4M + xW) × 7 = (4 × 1 + 5 × 21 × 15) = Total work
(4 × 1 + 2x) × 7 = 14 × 15
2x = 26
94
A and B can do a work in $$26\frac{2}{3}$$ days. B and C together can complete the same work in 48 days, while A and C together can complete the same work in 30 days. How long (in days) will A alone take to complete 60% of the work?
Discuss
Answer & Solution
Answer: Option A
Solution:
$${\text{A}} = 26\frac{2}{3} = \frac{{80}}{3}$$
Time and Work mcq question image
2(A + B + C) = 9 + 5 + 8 = 22
(A + B + C) = 11
A = 11 - 5 = 6
60% of total work $$ = \frac{{60}}{{100}} \times 240 = 144$$
$${\text{A}} = \frac{{144}}{6} = 24{\text{ days}}$$
95
A and B working together can do 30% of the work in 6 days. B alone can do the same Work in 25 days. How long will A alone take to complete the same work?
Discuss
Answer & Solution
Answer: Option D
Solution:
Time and Work mcq question image
Required answer = $$\frac{{100}}{{5 - 4}}$$  = 100 days
96
A and B together can complete a piece of work in 15 days. B and C together can do it in 24 days. If A is twice as good a workman as C. Then in how many days can B alone complete the work?
Discuss
Answer & Solution
Answer: Option B
Solution:
Time and Work mcq question image
$$\eqalign{ & {\text{Let the efficiency of C}} = {\text{x and A}} = {\text{2x}} \cr & {\text{A}} + {\text{B}} = {\text{8}} \cr & {\text{B}} + {\text{C}} = {\text{5}} \cr & \overline {\,{\text{A}} - {\text{C}} = 3\,} \cr & 2{\text{x}} - {\text{x}} = 3 \cr & {\text{x}} = 3 \cr & {\text{Efficiency of A}} = {\text{6, B}} = {\text{2, C}} = {\text{3}} \cr & {\text{Required answer}} \cr & {\text{B}} = \frac{{120}}{2} = 60{\text{ days}} \cr} $$
97
Kiran, Vishal and Dinesh work in a juice factory. Kiran takes 2 hours to extract as much juice as Vishal can in 3 hours. Dinesh takes 5 hours to extract as much juice that Kiran extracts in 4 hours. A tank can be filled with juice in 48 hours, if all of them work together. How long will it take to fill the tank, if Dinesh alone is trying to fill the tank?
Discuss
Answer & Solution
Answer: Option B
Solution:
$$\eqalign{ & 3 \times V = 2 \times K \cr & \frac{V}{K} = \frac{2}{3} = \frac{{10}}{{15}} \cr & 4 \times K = D \times 5 \cr & \frac{K}{D} = \frac{5}{4} = \frac{{15}}{{12}} \cr & {\text{Total work}} = 48 \times \left( {10 + 15 + 12} \right) \cr & {\text{Time of Dinesh}} = \left( {\frac{{48 \times 37}}{{12}}} \right) = 148{\text{ hr}} \cr} $$
98
A and B can do a work in 12 days and 18 days, respectively. They worked for 4 days after which B was replaced by C and the remaining work was completed by A and C in the next 4 days. In how many days will C alone complete 50% of the same work?
Discuss
Answer & Solution
Answer: Option B
Solution:
Time and Work mcq question image
4 day work = 5 × 4 = 20
Remaining work = 36 - 20 = 16
(A + C) complete in 4 days
A + C $$ \to \frac{{16}}{4} = 4$$
3 + C = 4
C = 1
50% of work = $$\frac{{36}}{2}$$ = 18
C do = $$\frac{{18}}{1}$$ = 18 days
99
A can complete a certain work in 35 days and B can complete the same work in 15 days. They worked together for 7 days, then B left the work. In how many days will A alone complete 60% of the remaining work?
Discuss
Answer & Solution
Answer: Option A
Solution:
Time and Work mcq question image
7 days work of (A and B) = 7 × 10 = 70
Remaining work = 105 - 70 = 35
60% of remaining work done by A = $$\frac{{35 \times \frac{3}{5}}}{3}$$  = 7 days
100
Shyam can complete a task in 12 days by working 10 hours a day. How many hours a day should he work to complete the task in 8 days?
Discuss
Answer & Solution
Answer: Option D
Solution:
10 × 12 = 8 × x
15 = x
x = 15 days