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- Question
- A and B separately can complete a work in 6 days and 3 days respectively. If they work together, then in how many days will they complete the work?
Options- A. 4 days
- B. 3 days
- C. 2 days
- D. 5 days
- Correct Answer
- 2 days
ExplanationWork completed by A + B in one day = 1/6 + 1/3 = 1/2
? Time taken by A + B to complete the work = 2 days. - 1. A, B and C contract a work for Rs. 550. Together A and B are supposed to do 7/11 of the work. The share of C should be?
Options- A. Rs. 1831/3
- B. Rs. 200
- C. Rs. 300
- D. Rs. 400 Discuss
- 2. 10 men and 15 women finish a work in 6 days. One man alone finishes that work in 100 days. In how many days will one women can finish the work?
Options- A. 125 days
- B. 150 days
- C. 90 days
- D. 225 days Discuss
- 3. 2 men and 3 women finish 25% of the work in 4 days, while 6 men and 14 women can finish the whole work in 5 days, In how many days will 20 women finish it?
Options- A. 20
- B. 25
- C. 24
- D. 88 Discuss
- 4. X can do a work in 16 days. In how many days will the work be completed by Y, if the efficiency of Y is 60% more than that of X?
Options- A. 10 days
- B. 12 days
- C. 25 days
- D. 30 days Discuss
- 5. A does 20 % less work then B. If A can complete a piece of work in
7 1/ 2h, then B can do it in
Options- A. 4 h
- B. 6 h
- C. 8 h
- D. 10 h Discuss
- 6. Ram, Dilip and Shekhar can complete a work in 20 days. If Ram and Dilip together can complete the same work in 30 days, then how long will Shekhar take to complete it?
Options- A. 60 days
- B. 62 days
- C. 40 days
- D. 56 days Discuss
- 7. Sunil complete a work in 4 days whereas Dinesh completes the work in 6 days. Ramesh work 1 1/ 2 times as fast as sunil. How many days it will take for the three together to complete the work?
Options- A. 7 / 12
- B. 15/12
- C. 15/7
- D. None of these Discuss
- 8. 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?
Options- A. 7 days
- B. 9 days
- C. 11 days
- D. None of these Discuss
- 9. 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?
Options- A. 24 days
- B. 25 days
- C. 30 days
- D. 35 days Discuss
- 10. A can do a certain job in 25 days which B alone can do in 20 days. A started the work and was joined by B after 10 days. The work lasted for?
Options- A. 121/2
- B. 142/9
- C. 15 days
- D. 162/3 Discuss
Time and Work problems
Search Results
Correct Answer: Rs. 200
Explanation:
Work to be done by C = (1 - 7/11) = 4/11
? (A + B) : C = 7/11 : 4/11 = 7 : 4
? C's share = Rs. 550 x (4/11) = Rs. 200
Correct Answer: 225 days
Explanation:
? One man alone finishes te work in 100 days.
? 10 men can finish the work in 10 day.
? 15 women can finish work in one days = 1/6 - 1/10 = 1/15 work
? 15 women finish the whole work in 15 days
? 1 women finishes the whole work in = 15 x 15 = 225 days
Correct Answer: 20
Explanation:
8M + 12W = 4 days (whole work)
? 32M + 48W = 1 day ................ (1)
Again 6M + 14W = 5 days
? 30M + 70W = 1 day ................(2)
From eq. (1) and (2)
32M + 48W = 30M +70W
? 2M = 22W
? 1M = 11W
Now, 30M + 70W = 1 day
(30 X 11 X 70)W = 1 day
Therefore 400W requires 1 day to complete the whole work.
Thus 20W needs 20 days to complete the whole work.
Correct Answer: 10 days
Explanation:
Ratio of time taken by X
and Y = 160 : 100 = 16 : 1
Suppose Y takes y days to the work.
Then, 1.6 : 1 = 16 : y
? y = (16 x 1)/1.6 = 10 days
Correct Answer: 6 h
Explanation:
Let time taken by B = N
Efficiency ? 1/Time taken
So, if B is 100% efficient, then A is 80% efficient.
So, 80/100 = N /(15/2)
? N = 6 h
Correct Answer: 60 days
Explanation:
? Work of (Ram + Dilip + Shekhar) for 1 day = 1/20
and work of (Ram + Dilip) for 1 day = 1/30
? Work of Shekhar for 1 day = 1 / 20 - 1 / 30 = 1/60
Hence, Shekhar will complete the work in 60 days.
Correct Answer: None of these
Explanation:
Time taken by Ramesh alone = (2/3) x 4 = 8/3 days
? Their 1 day's work = (1/4 + 1/6 + 3/8) = 19/24
So, together they can finish the work in 24 /19 days, i.e., 15/19 days.
Correct Answer: 9 days
Explanation:
Umesh's 5 day's work = 5 x (1/15) = 1/3
Remaining work = (1 - 1/3) = 2/3
(1/10 + 1/15) work is done by both in 1 day
? 2/3 work is done by both in 6 x (2/3) = 4 days
Hence, the work was completed in 4 + 5 = 9 days.
Correct Answer: 30 days
Explanation:
A's 10 day's work = (10 x 1/80) = 1/8
Remaining work = (1 - 1/8) = 7/8
? 7/8 work is done by B in 42 days
? Whole work will be done by B in (42 x 8/7) = i .e., 48 days.
? (A + B)'s day's work = (1/80 + 1/48) = 8/240 = 1/30
Hence, A and B together can finish it in 30 days.
Correct Answer: 162/3
Explanation:
A's 10 day's work = 10 x (1/25) = 2/5
Remaining work = 1 - 2/5 = 3/5
Work was done by (A + B) in 1 day = (1/25 + 1/20) = 9/100
? 3/5 work was done by (A + B) in (100/9 x 3/5) = 20/3 days
Hence, the work lasted for (10 + 62/3) = 162/3 days.
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