Formulae
1. Work Done = Time Taken × Rate of Work
2. Rate of Work = 1 / Time Taken
3. Time Taken = 1 / Rate of Work
4. If a piece of work is done in x number of days, then the work done in one day = 1/x
5. Total Wok Done = Number of Days × Efficiency
6. Efficiency and Time are inversely proportional to each other
7. X:y is the ratio of the number of men which are required to complete a piece of work, then the ratio of the time taken by them to complete the work will be y:x
8. If x number of people can do W1 work, in D1 days, working T1 hours each day and the number of people can do W2 work, in D2 days, working T2 hours each day, then the relation between them will be
(M1 x D1 x T1)/W1 = (M2 x D2 x T2)/W2
Exercise : Time and Work MCQ Questions and Answers
Question 1
2 men and 8 women can earn 713640 in 11 days. 6 men and 10 women can earn 713 800 in 15 days. In how many days will 10 men and 15 women earn 78700 ?
| A. |
| B. |
| C. |
| D. |
Correct Answer : A. 6 days
Description :
Let the daily earning of a man be x and that of a woman be y
12x + 8y = 13640/11 = 1240
∴ 3x + 2y = 310 .......(I)
6x + 10y = 13800/15 = 92
3x + 5y = 460 .......(II)
Solving equations
x = 70
and y = 50
∴ Number of days = 8700/(10x70) (15x50)
= 8700/700+750 = 8700/180
= 6 days
View Answer
50/50
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Question 2
16 men or 20 women can finish a work in 25 days. How many days 28 men and 15 women will take to finish this job?
| A. |
| B. |
| C. |
| D. |
Correct Answer : D. 10 days
Description :
16 men = 20 women
Therefore, 1 women = 16/20 men = 4/5 men
15 women = 4/5 ? 15 men = 12 men
i.e. 28 men + 15 women = 28 men + 12 men = 40men
1 work done by men = 16 ? 25
16 ? 25 = 40 ? ?
? ( no. of days) = 16 ? 25/40 = 10 days.
Question 3
A and B can do a piece of work in 72 days, B and C can do it in 120 days, A and C can do it 90 days. In what time can A alone do it ?
| A. |
| B. |
| C. |
| D. |
Correct Answer : B. 80 days
Description :
No answer description available for this question. Let us discuss.
Question 4
A can do the piece of work in 20 days which B can do in 12 days. B worked at it for 9 days. A can finish the remaining work in
| A. |
| B. |
| C. |
| D. |
Correct Answer : C. 5 days
Description :
No answer description available for this question. Let us discuss.
Question 5
36 workers can reap a field in 6 days. If the work is to be completed in 4 days, the extra workers required are
| A. |
| B. |
| C. |
| D. |
Correct Answer : A. 18
Description :
M1D1 = M2D2
36(6)=X(4)
=54
Extra required workers are 54-36=18
Question 6
Computer A takes 3 minutes to process an input while computer B takes 4 minutes. If computers A, B and C can process an average of 15 inputs in one hour, how many minutes does Computer C alone take to
| A. |
| B. |
| C. |
| D. |
Correct Answer : B. 6 minutes
Description :
Part processed by A in 1 minute = 1/3
part processed by B in 1 minute = 1/4
Part processed by (A + B + C) in 1 minute = 45/60 = 3/4
∴ Part processed by C in 1 minute = 3/4 - 1/3 - 1/4 = 9 - 4 - 3/12
= 2/12 = 1/6
∴ C will process 1 minute in 6 minutes
Question 7
A man takes four times as long to row up as to row down the river. If the rate of river is 6 kmh"1 what is the rate of the man in still water ?
| A. |
| B. |
| C. |
| D. |
Correct Answer : B. 10 kmph
Description :
Let the speed of the man in still water be V kmh-1
∴ (V + 6) = 4(V- 6)
∴ V + 6 = 4V - 24
∴ 3V = 30
∴ V = 10 kmh-1
Question 8
Seven men and four boys can earn Rs 6710 in 11 days. 12 men and five boys can earn Rs 6930 in seven days. In how many days time will 8 men and 10 boys earn Rs 12040 ?
| A. |
| B. |
| C. |
| D. |
Correct Answer : A. 14 days
Description :
(7m + 4b) x 11 = 6710
∴ 7m + 4b = 610 .......(i)
(12m + 5b) x 7 = 6930
∴ 12m + 5b = 990 ......(ii)
From eqn (i) and (ii) m = 70, b = 30
∴ 8m + 10b = 560 + 300 = 860
∴ Number of days = 12040/860
= 14
Question 9
5 men are equal to as many women as are equal to 8 boys. All of them earn Rs.90 only. Men's wages are?
| A. |
| B. |
| C. |
| D. |
Correct Answer : A. Rs.6
Description :
5M = xW = 8B
5M + xW + 8B ----- 90 Rs.
5M + 5M + 5M ----- 90 Rs.
15M ------ 90 Rs. => 1M = 6Rs.
Question 10
A man and a boy complete a work together in 24 days. If for the last 6 days man alone does the work then it is completed in 26 days. How long the boy will take to complete the work alone?
| A. |
| B. |
| C. |
| D. |
Correct Answer : D. 72 days
Description :
(man + boy)'s 1 day's work = 1/24
Their 20 day's work = 1/24 × 20 = 5/6
The remaining 1/6 work is done by the man in 6days
Therefore, the man alone will finish the work in 6 × 6 days = 36 days
Man's 1 day's work = 1/36
Therefore, boy's 1 day's work = 1/24 – 1/36 = 3 – 2 /72 = 1/72
Therefore, the Boy alone will finish the work in 72 days.