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- Question
- Two workers A and B working together completed a job in 5 days. If A worked twice as efficiently as he actually did and B worked 1 / 3 as efficiently as he actually did the work, then they would have completed the work in 3 days. Find the time for A to complete the job alone?
Options- A. 61/2 days
- B. 61/4 days
- C. 63/4 days
- D. 121/2 days
- Correct Answer
- 61/4 days
ExplanationEfficiency is proportional to work done per day. Work done per day N number of days
= Amount of work done. Considering efficience of A and B initially as 1.
Let A alone can do the work in M days and B alone can do the same work in N days.
Then, 5/M + 5/N = Total work done = 1
Since efficiency of A and B are 2 and 1/3 respectively
? 6/M + 1/N = 1 ....(i)
and 1/M + 1/N = 5 .....(ii)
Now, subtracting equation (ii) from equation (i), we have M = 25/4 = 61/4 days. - 1. A and B can together finish a work in 30 days. They worked for it for 20 days and then B left. the remaining work was done by A alone in 20 more days. A alone can finish the work in?
Options- A. 48 days
- B. 50 days
- C. 54 days
- D. 60 days Discuss
- 2. Ramesh can finish a job in 20 days. He worked for 10 days alone and completed the remaining job working with Dinesh, in 2 days. How many days would both Dinesh and Ramesh together can complete the whole work?
Options- A. 4
- B. 5
- C. 10
- D. 12 Discuss
- 3. 15 men would finish a piece of work in 210 days. But at the end of every 10 days. 15 additional men are employed. In how many days will it be finished?
Options- A. 30 days
- B. 70 days
- C. 35 days
- D. 60 days Discuss
- 4. A can do a piece of work in 8 days, B can do it in 10 days and C can do it in 20 days. In how many days can A, B and C together complete the work?
Options- A. 37/11 days
- B. 35/11 days
- C. 32 /11 days
- D. 39/11 days Discuss
- 5. A certain number of men can do a piece of work in 80 days. If there were 10 men less, it could be finished in 20 days more. How many men are there in the starting?
Options- A. 45
- B. 50
- C. 40
- D. 60 Discuss
- 6. 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
- 7. 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
- 8. 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
- 9. 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
- 10. 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
Time and Work problems
Search Results
Correct Answer: 60 days
Explanation:
(A + B)'s 20 day's work = (20 x 1/30) = 2/3
Remaining work = (1 - 2/3) = 1/3
1/3 work is done by A in 20 days
Whole work can be done by A in (3 x 20) days = 60 days.
Correct Answer: 4
Explanation:
Ramesh alone finish 1/2of the work in 10 days.
Remaining 1/2 of the job was finished by Ramesh and Dinesh together in 2 days.
Therefore, they both together can finish the complete job in 4 days.
Correct Answer: 60 days
Explanation:
10 day's work by 15 men = 10/210 = 1/21
At the end of every 10 days 15 additional men are employed i.e., for the next 10 days we have 15 + 15 = 30 men
? Next 10 day's work by 30 men = 2/21
Hence in 20 days only (1/21 + 2/21) = 3/21 work is completed
To complete the whole work we have to reach the value of (21/21) work.
Now, (1/21) + (2/21) + (3/21) + ......... (6/21) = 21/21 = 1
Hence total time to complete the whole wok 10 + 10 + 10 + 10 + 10 + 10 = 60 days
Correct Answer: 37/11 days
Explanation:
A's 1 days 's work = 1/8
B ' s 1 days ' s = 1/10
C ' s day 's work = 1/20
(A + B + C)'s 1 days 's work = 1/8 + 1/10 + 1/20 = (5 + 4 + 2)/40 = 11/40
? (A + B + C ) can finish the work in 40/11 days or 3 7/11 days.
Correct Answer: 50
Explanation:
Let the original number of men = N
Time taken by N = 80 days
Now, (N - 10) men can finish the work in the (80 + 20) = 100 days
Here, M1 = N, M2 = (N - 10), D1 = 80 and D2 = 100
According to the formula.
M1D1 = M2D2
? N x 80 = 100 x (N - 10)
? 8N = 10N - 100
? 10N - 8N = 100
? N = 50
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: 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: 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: 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: 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
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