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- Question
- Ajay can do a piece of work in 25 days and Sanjay can finish it in 20 days. They work together for 5 days and then Ajay goes away. In how many days will Sanjay finish the remaining work?
Options- A. 11 days
- B. 12 days
- C. 14 days
- D. None of these
- Correct Answer
- 11 days
ExplanationAjay' s 1 days work = 1/25
Similarly, sanjay's 1 days work = 1/20
Ajays and Sanjay 's together 1 day's work
= (1/25) + (1/20) = (4 + 5)/100 = 9/100
Their 5 day's work together
= 5 x 1 day's work
= 5 x (9/100) = 45/100
Remaining work = 1 - (5/100) = 55/100
Now, this remaining work is done by Sanjay.
Let Sanjay takes N days to complete it.
Then, (1/20) x N = 55/100
? N = (55 x 20)/100
? N = 11 days
So, remaining work is done in 11 days by Sanjay. - 1. A and B can complete a work in 8 days. working together. B alone can do it in 12 days. After working for 4 days, B left the work. How many days will A take to complete the remaining work?
Options- A. 16 days
- B. 18 days
- C. 20 days
- D. 22 days Discuss
- 2. Ganesh, Ram and Sohan together can do a work in 16 days. If Ganesh and Ram together can do the same work in 24 days then, how long will take Sohan alone to do the same work?
Options- A. 42 days
- B. 24 days
- C. 36 days
- D. 48 days Discuss
- 3. 15 men can complete a work in 10 days while 20 boys can complete the same work in 15 days. How many days will 10 men and 10 boys together take to complete the same work?
Options- A. 10 days
- B. 8 days
- C. 12 days
- D. 9 days Discuss
- 4. A report of 100 pages is to be typed by three typists. Typist A can type 100 pages in 10 hours. Typist B can type the same pages in 20 hours and typist C in 25 hours. Allthe three typist started typing at 09.00 a.m. At 01.00 p.m. typist A stopped typing. The other two typist finished the job, approximately at what time the report was typed?
Options- A. 2.40 p.m.
- B. 5.00 p.m.
- C. 6.00 p.m.
- D. 3.40 p.m. Discuss
- 5. 16 men and 12 women together complete a work in 20 days. If 18 women complete the same work in 40 days. Then how many days will be taken by 12 men and 27 women together to complete the same work?
Options- A. 18 days
- B. 15 days
- C. 14 days
- D. 16 days Discuss
- 6. A and B together can complete a work in 3 days. They started together but after 2 days, B left the work. If the work is completed after 2 more days, B alone could do the work in how many days?
Options- A. 5
- B. 6
- C. 7
- D. 10 Discuss
- 7. A and B can complete a job in the 24 days working together. A alone can complete it in 32 days. Both of them worked together for 8 days and then A left. The number of days B will take to complete the remaining job is
Options- A. 16
- B. 32
- C. 64
- D. 128 Discuss
- 8. 20 workers working for 5 h per day complete a work in 10 days. If 25 workers are employed to work 10 h per days, what is the time required to complete the work?
Options- A. 4 days
- B. 5 days
- C. 6 days
- D. 8 days Discuss
- 9. 90 men are engaged to do piece of work in 40 days but it is found that in 25 days, 2/3 work is complete. How many men should be allowed to go off, so that the work finished in time?
Options- A. 10
- B. 15
- C. 20
- D. 25 Discuss
- 10. A, Band C can do a piece of work individually in 8, 12 and 15 days, respectively. A and B start working but A quits after working for 2 days. After this, C joins B till the completion of work. In how many days will the work be completed?
Options- A. 58/9 days
- B. 46/7 days
- C. 67/13 days
- D. 33/4 days Discuss
Time and Work problems
Search Results
Correct Answer: 16 days
Explanation:
( A + B) 's 1 days work = 1/8
B's 1 days work = 1/12
? A's 1 day's work = (1/8) - (1/12) = (3 - 2)/24 = 1/24
? A can complete the work in 24 days
Now, B's 4 days work = 4/12 = 1/3
Remaining work = 1 - 1/3 = 2/3
As, time taken by A to complete the work is 24 days.
? Time taken by A to do 2/3 of the work = 2/3 x 24 = 16 days
Correct Answer: 48 days
Explanation:
? Work of (Ganesh, Ram and Sohan) for 1 day = 1/16
and work of Ganesh and Ram for 1 day = 1/24
? Work of Sohan for 1 day = 1/16 - 1/24 = 1/48
? Sohan alone will complete the work in = 1/(1/48) days = 48 days.
Correct Answer: 10 days
Explanation:
? In 10 days a work is complete by 15 men
? In 1 day a work is complete by = 15 x 10 = 150 men
? In 5 days the work is complete by = 20 boys
? 1 day the work is completed = 20 x 15 = 300 boys
? 150 men = 300 boys
or 1 men = 300/150 = 2 boys
10 men = 2 x 10 = 20 boys
10 men + 10 boys = 20 + 10 = 30 boys
? 20 boys complete the work in 15 days
? 30 boys complete the work in (15 x 20)/30 = 10 days
Correct Answer: 3.40 p.m.
Explanation:
? No. of pages typed by the typist A in 4 hours = 100 x 4/10 = 40
? No. of remaining pages = 100 - 40 = 60
Let B and C worked for H hours
? (100 x H)/20 + (100 x H)/25 = 60
? 5H + 4H = 60
? H = 60/9 = 20/3 hours = 6 hours 40 min
? The time at which the report was typed 03.40 p.m.
Correct Answer: 16 days
Explanation:
? In 20 days the work is completed by = 16 men + 12 women
? In 1 day the work is completed by = 20 x (16 men + 12 women )
= 320 men + 240 women
In 40 days the work is complete by 18 women
? 1 day the work is complete by = 18 x 40 = 720 women
? 720 women = 320 men + 240 women
? (720 - 240)women = 320 men
? 480 women = 320 men
? 1 men = 480/320 = 3/2 women
? 12 men + 27 women = 12 x (3/2) + 27 = 45 women
? 18 women complete work in 40 days
? 45 women complete 1 work = 40 x 18/45 = 16 days
Correct Answer: 6
Explanation:
(A + B)'s 2 day's work = 2 x (1/3) = 2/3
Remaining work = 1 - (2/3) = 1/3
A will complete 1/3 work in 2
A will complete 1 work in 6
A's 1 days work = 1/6
B's 1 day's work = (1/3) - (1/6) = 1/6
? B will take 6 days to complete the work alone.
Correct Answer: 64
Explanation:
Let B will take N days to complete the remaining job.
According to the question
(1/A) + (1/B) = 1/24 and 1/A = 1/32
? 1/B = (1/24) - (1/32) = 1/96
? B = 96 days
According to the question,
8[(1/A) + (1/B)] + N x (1/B) = 1
? 8 x (1/24) + (N/96) = 1
? (1/3) + (N/96) = 1
? N/96 = 1 -1/3
? N = (2 x 96)/3 = 64
Hence, B complete the remaining job in 64 days
Correct Answer: 4 days
Explanation:
Given, M1= 20, M2 = 25, T1 = 5, T2 = 10, D1 = 10 and D2 = ?
According to the formula,
M1T1D1= M2T2D2
? 20 x 5 x 10 = 25 x 10 x D2
? D2 = 20 x 5 x 10/25 x 10 = 4 days
Correct Answer: 15
Explanation:
Let N men are allowed to go off,
M1= 90, D1 = 25, D2 = 15
W1 = 2/3, W2 = 1 - (2/3) = 1/3
M2 = 90 - N
According to the formula, M1D1W2 = M2D2W1
? (90 x 25) (1/3) = (90 - N) x 15 x (2/3)
? 90 x 25 x (1/3) = 10(90 - N)
? 75 = 90 - N
? N = 90 - 75 = 15
Correct Answer: 58/9 days
Explanation:
Work done by A and B in 1 day
= (1/8) + (1/12) = 5/24
2 day's work of A and B = 10/24
After 2 day's A left the work
? Remaining work = 1 - (10/24) = 14/24
One day work of B and C together = (1/12) + (1/15) = 9/60
So, the number of days required by B and C to finish work
= (14/24) / (9/60) = (14/24) x (60/9) = 35/9
? Total days to complete the work = 2 + (35/9) = 53/9 = 58/9 days
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