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- Question
If 34 men completed 2/5th of a work in 8 days working 9 hours a day. How many more man should be engaged to finish the rest of the work in 6 days working 9 hours a day ?
Options- A. 101 men
- B. 112 men
- C. 102 men
- D. 120 men
- Correct Answer
- 102 men
ExplanationFrom the above formula i.e (m1 x t1/w1) = (m2 x t2/w2)
so, [(34 x 8 x 9)/(2/5)] = [(M x 6 x 9)/(3/5)]
so, M = 136 men
Number of men to be added to finish the work = 136-34 = 102 men.
- 1. 45 men working 9 hours per day dig 40 m deep. How many extra men should be put to dig to a depth of 56 m working 7 hours per day ?
Options- A. 36
- B. 61
- C. 48
- D. 54 Discuss
- 2. If 5 men and 2 boys working together, can do four times as much work per hour as a man and a boy together. Find the ratio of the work done by a man and that of a boy for a given time ?
Options- A. 1:2
- B. 1:3
- C. 3:1
- D. 2:1 Discuss
- 3. P and Q were assigned to do a work for an amount of 1200. P alone can do it in 15 days while Q can do it in 12 days. With the help of R they finish the work in 6 days. Find the share of R ?
Options- A. 120
- B. 240
- C. 360
- D. 180 Discuss
- 4. A group of men can complete a job in K hours. After every 4 hours, half the number of men working at that point of time leave the job. Continuing this way if the job is finished in 16 hours, what is the value of K ?
Options- A. 7 hrs
- B. 7.5 hrs
- C. 8 hrs
- D. 8.25 hrs Discuss
- 5. A can do a work in 9 days, B can do a work in 7 days, C can do a work in 5 days. A works on the first day, B works on the second day and C on the third day respectively that is they work on alternate days. When will they finish the work ?
Options- A. [7 + (215/345)] days
- B. [6 + (11/215)] days
- C. [6 + (261/315)] days
- D. [5 + (112/351)] days Discuss
- 6. P alone can complete a piece of work in 6 days. Work done by Q alone in one day is equal to one-third of the work done by P alone in one day. In how many days can the work be completed if P and Q work together ?
Options- A. 5 (2/3)
- B. 6 (3/4 )
- C. 4 (1/2)
- D. 3 Discuss
- 7. S, T and U together can complete a work in 30 days. If the ratio of efficiency of S, T and U is 20 : 15 : 12 respectively, then in how many days U alone can complete the same work?
Options- A. 195/2
- B. 235/2
- C. 225/2
- D. 215/2 Discuss
- 8. A and B together finish a wor in 20 days.They worked together for 15 days and then B left. Afer another 10 days,A finished the remaining work. In how many days A alone can finish the job?
Options- A. 30
- B. 40
- C. 50
- D. 60 Discuss
- 9. Ten women can do a work in six days. Six men can complete the same work in five days. What is the ratio between the capacity of a man and a woman?
Options- A. 1:2
- B. 2:1
- C. 2:3
- D. 3:2 Discuss
- 10. A shopkeeper has a job to print certain number of documents and there are three machines P, Q and R for this job. P can complete the job in 3 days, Q can complete the job in 4 days and R can complete the job in 6 days. How many days the shopkeeper will it take to complete the job if all the machines are used simultaneously ?
Options- A. 4/3 days
- B. 2 days
- C. 3/2 days
- D. 4 days Discuss
Time and Work problems
Search Results
Correct Answer: 36
Explanation:
(45 x 9)/40 = (M x 7)/56 => M = 81
=> 81 ? 45 = 36
Correct Answer: 2:1
Explanation:
5M + 2B = 4(1M + 1B)
5M + 2B = 4M + 4B
1M = 2B
The required ratio of work done by a man and a boy = 2:1
Correct Answer: 120
Explanation:
1/15 + 1/12 + 1/R = 1/6, we got R = 60 (it means R will take 60 days to complete the work alone)
so ratio of work done by P:Q:R = 1/15 : 1/12 : 1/60 = 5 : 4 : 1
so R share = (1/10) x 1200 = 120.
Correct Answer: 7.5 hrs
Explanation:
Let there are L men
job requires LK man hours.
job completed in first 4 hrs = L x 4 = 4L
job completed in next 4 hrs = 4 x L/2 = 2L
job completed in next 4 hrs = 4 x L/4 = L
job completed in last 4 hrs = 4 x L/8 = L/2
4L + 2L + L + L/2 = KL
K = 7+1/2 = 7.5 hours.
Correct Answer: [6 + (261/315)] days
Explanation:
After day 1, A finishes 1/9 of the work.
After day 2, B finishes 1/7 more of the total work. (1/9) + (1/7) is finished.
After day 3, C finishes 1/5 more of total work. Total finished is 143/315.
So, after day 6, total work finished is 286/315.
Now remaining work = 29 /315
On day 7, A will work again
Work will be completed on day 7 when A is working. He must finish 29/315 of total remaining work.
Since he takes 9 days to finish the total task, he will need 261/315 of the day.
Total days required is 6 + (261/315) days.
Correct Answer: 4 (1/2)
Explanation:
Work done by P alone in one day = 1/6th of the total work done by Q alone in one day = 1/3(of that done by P in one day) = 1/3(1/6 of the total) = 1/18 of the total.
Work done by P and Q, working together in one day = 1/6 + 1/18 = 4/18 = 2/9
They would take 9/2 days = 4 (1/2) days to complete the work working together.
Correct Answer: 235/2
Correct Answer: 40
Explanation:
(A+B)'s 15 days work =
Remaining work = 1/4
Now, 1/4 work is done by A in 10 days.
Whole work will be done by A in (10 x 4) = 40 days.
Correct Answer: 2:1
Explanation:
(10 * 6) women can complete the work in 1 day.
Therefore, 1 woman's 1 day's work = 1/60
(6 * 5) men can complete the work in 1 day.
Therefore, 1 man's 1 day's work = 1/30
so, required ratio =1/30 : 1/60 = 2:1
Correct Answer: 4/3 days
Explanation:
Let the total number of documents to be printed be 12.
The number of documents printed by P in 1 day = 4.
The number of documents printed by Q in 1 day = 3.
The number of documents printed by R in 1 day = 2.
Thus, the total number of documents that can be printed by all the machines working simultaneously in a single day = 9.
Therefore, the number of days taken to complete the whole work = 12/9 = 4/3 days.
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