Time and Work problems
- 1. If two flood gates A and B function simultaneously, the reservoir will be filled iu 6 hours. Gate A fills the reservoir 5 hours faster than gate B. How many hours does the faster flood gate take to fill the reservoir?
Options- A. 7 hrs
- B. 13 hrs
- C. 5 hrs
- D. 10 hrs Also asked in: AIEEE, Bank Exams, CAT
Correct Answer: 10 hrs
- 2. A alone can do a work in 20 days. B is 125% more efficient than A. A and B started working and worked for 4 days. If C alone completed the remaining job in 22 days. How many days C alone takes to complete the entire job?
Options- A. 30
- B. 35
- C. 40
- D. 42 Also asked in: Bank Exams
Correct Answer: 40
Explanation:
Time required will be in ratio = 5:4
B alone will do it in =16 days
- 3. A is 50% more efficient than B. They together start the work and 7/12th of work is left after 8 days. Find in what time B alone will complete the whole work.
Options- A. 36 days
- B. 44 days
- C. 50 days
- D. 40 days Also asked in: AIEEE, Bank Exams, CAT
Correct Answer:
Explanation:
Ratio of efficiency of A to B is 3 : 2
Let, In 8 days they complete = (3 + 2) × 8 = 40 units
So, total work = 40 × 12/5 units
Time taken by B alone to complete whole work = 40 × 12/5 ×2 = 48 days
- 4. Type 1 workers can do three times the work of Type 2 workers. Twelve Type 1 workers can complete a task in 10 days. How many days would it have taken 4 Type 1 and 8 Type 2 workers to complete the same task?
Options- A. 16
- B. 17
- C. 20
- D. 18 Also asked in: AIEEE, Bank Exams, CAT
Correct Answer: 18
- 5. A can do a work in 24 days. B is 20% more efficient than A. If C can do the work in 10 more days than B, find the time taken by A and C together to complete the work.
Options- A. 43/3 days
- B. 40/3 days
- C. 50/3 days
- D. 41/2 days Also asked in: Bank Exams
Correct Answer: 40/3 days
Explanation:
A takes 24 days to complete a work.
B is 20% more efficient than A,
hence B will take (24*100)/120 = 20 days.
C takes (20+10) = 30 days.
Time taken by A & C in completing the work = (24*30)/(24+30) = (24*30)/54 = 40/3 days.
- 6. Prabhat has done 1/2 of a job in 12 days. Santosh completes the rest of the job in 6 days. In how many days can they together do the job?
Options- A. 12 days
- B. 4 days
- C. 8 days
- D. 16 days Also asked in: AIEEE, Bank Exams, CAT, GATE
Correct Answer: 8 days
- 7. A takes 24 day in completing a work alone. Time taken by A in completing 1/3rd of the work is equal to the time taken by B in completing half of the work. How many days will be taken in completing the work if both A & B start working together?
Options- A. 21/3 days
- B. 48 days
- C. 40 days
- D. 48/5 days Also asked in: AIEEE, Bank Exams, GATE
Correct Answer: 48/5 days
Explanation:
Ans.
Time taken by A to complete a work alone - 24 days
Time taken by A in completing 1/3 of work = 24*1/3= 8 Days
8 day = time taken by B in completing 1/2 of work
B alone can complete the work = 16 days
The required time in completing the work if both A & B start working together?
16*24 / 40 = 48/5 Days
- 8. 48 people could complete a task in 17 days. After 6 days, 4 of the workers left. How many days from then will it take to complete the task?
Options- A. 12
- B. 13
- C. 15
- D. 16 Also asked in: AIEEE, Bank Exams, CAT
Correct Answer: 12
Explanation:
Given, 48 people can do a work in 17 days. So total work = 48 x 17 = 816
Work done by 48 people in 6 days = 288.
The remaining work = 816 - 288 = 528
After 6 days four workers left. So number of people working is 44
Total number of days required for 44 men to complete the remaining work = 528/44 = 12
- 9. Two typists of varying skills can do a typing jobin6 minutesifthey work together.Ifthe first typist typed alone for 4 minutes and then the second typist typed alone for 6 minutes, they would be left with 1/5 of the whole work.Howmany minutes would it take the slower typist to complete the typing job working alone?
Options- A. 10 minutes
- B. 15 minutes
- C. 12 minutes
- D. 20 minutes Also asked in: Bank Exams
Correct Answer: 15 minutes
Explanation:
Working efficiency of both typist together = 100/6 = 16.66%
Let the efficiency of first typist be x and second typist be (16.66 ?x)
First typist for 4 minute + second tyoistfor 6 minute = 80% work
?4x + (16.66 ?x) X 6 = 80%
?4x + 100% -6x = 80%,
?x = 10%
First typist typed 10% per minute, second typst typed (16.66 ?10) = 6.66% per minute
Slowest is second typist complete whole job in 100/6.66 = 15.01 = 15 minute
- 10. X can do a piece of work in 'p' days and Y can do the same work in 'q' days . Then the number of days in which X and Y can together do that work is
Options- A. p+q2
- B. 1p+1q
- C. pqp+q
- D. Pq Also asked in: Bank Exams
Correct Answer: pqp+q
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