Time and Work problems
- 1. A is 3 times faster than B. If A can finish a work 32 days less than that of B, find the number of days need to finish the work if both are working together?
Options- A. 12 days
- B. 24 days
- C. 32 days
- D. 16 days Also asked in: Bank Exams, Bank PO, Bank Clerk
Correct Answer: 12 days
Explanation:
It is given that efficiency ratio =3:1
so time ratio will be 1:3 (since work is same)
Also given that time diff = 32 days. ratio difference = 3-1 =2
2 ratio = 32 days
1 ratio = 16 days.
So A will alone finish it in 16 days and B will finish it in 16*3 = 48 days.
Total work = LCM of 16 and 48 = 48.
Total time = Total work/Total efficiency
ie; 48/4= 12 days.
- 2. In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.40 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for ?
Options- A. 145
- B. 165
- C. 175
- D. 135 Also asked in: GRE, GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk, Analyst
Correct Answer: 175
Explanation:
Given that,
working days = 5
working hours = 8
A man get rupess per hour is Rs.2.40
So in one day the man get total rupees is 2.40 x 8 = 19.2
So in 5 days week the man get total rupees is 19.2 x 5 = 96
So in 4 week the man get total rupees is 96 x 4 = 384
So the man worked for = 160hours in 4 weeks
But given that the man earned Rs.432
Hence remaning money is (432-384 = 48)which is earn by doing overtime work
Overtime hours = 48/3.20 = 15
So total worked hours is = 15 + 160 = 175.
- 3. There is sufficient salary to give K for 10 days and L for 15 days. Then how many days will the money last if both has to be given the salary ?
Options- A. 6 days
- B. 12 days
- C. 4 days
- D. 9 days Also asked in: GRE, GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk
Correct Answer: 6 days
Explanation:
K's 1 day's salary = 1/10
L's 1 day's salary = 1/15
Together their 1 day's salary = 1/10 + 1/15
= 3/30 + 2/30
= 5/30
= 1/6
So the money will be enough for paying them both for 6 days.
- 4. A can complete a piece of work in 12 days and B is 60% more efficient than A. In how many days B will complete the same work ?
Options- A. 8.7 hrs
- B. 5.2 hrs
- C. 5 hrs
- D. 7.5 hrs Also asked in: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO
Correct Answer: 7.5 hrs
Explanation:
Ratio of times taken by A and B = 160 : 100
A can do the work in 12 days
Let B can do the work in "D" days
=> 160:100 = 12 : D
=> D = 12 x 100/160 = 7.5 hrs
- 5. A can do a piece of work in 15 days and B can do it in 16 days and C can do it 24 days. They started the work together and A leaves after 3 days and B leaves after 4 days from the beginning. How long will work lost ?
Options- A. 10 2/3 days
- B. 13 1/5 days
- C. 12 2/3 days
- D. 11 5/7 days Also asked in: Bank PO, Bank Clerk, GATE, CAT, Bank Exams, AIEEE
Correct Answer: 13 1/5 days
Explanation:
3/15 + 4/16 + x/24 = 1
- 6. It takes one minute to fill 2/7 th of a vessel. What is the time taken in minutes to fill the whole of the vessel ?
Options- A. 1/7 min
- B. 7/2 min
- C. 5/7 min
- D. 7/5 min Also asked in: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO
Correct Answer: 7/2 min
Explanation:
Time taken to fill 2/7 = 1
Then to fill full 1 = ?
? = 1/(2/7) = 7/2 minutes.
- 7. M, N and O can complete the work in 18, 36 and 54 days respectively. M started the work and worked for 8 days, then N and O joined him and they all worked together for some days. M left the job one day before completion of work. For how many days they all worked together?
Options- A. 4
- B. 5
- C. 3
- D. 6 Also asked in: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO
Correct Answer: 5
Explanation:
Let M, N and O worked together for x days.
From the given data,
M alone worked for 8 days
M,N,O worked for x days
N, O worked for 1 day
But given that
M alone can complete the work in 18 days
N alone can complete the work in 36 days
O alone can complete the work in 54 days
The total work can be the LCM of 18, 6, 54 = 108 units
M's 1 day work = 108/18 = 6 units
N's 1 day work = 108/36 = 3 units
O's 1 day work = 108/54 = 2 units
Now, the equation is
8 x 6 + 11x + 5 x 1 = 108
48 + 11x + 5 = 108
11x = 103 - 48
11x = 55
x = 5 days.
Hence, all M,N and O together worked for 5 days.
- 8. 70000 a year is how much an hour?
Options- A. 80
- B. 8
- C. 0.8
- D. 0.08 Also asked in: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO, Database Administrator, IT Trainer
Correct Answer: 8
Explanation:
Given for year = 70000
=> 365 days = 70000
=> 365 x 24 hours = 70000
=> 1 hour = ?
70000/365x24 = 7.990 = 8
- 9. A and B can complete a task in 1.5 days. However, A had to leave a few days before the task wascompleted and hence it took 2 days in all to complete the task. If A alone could complete the work in2.625 days, how many days before the work getting over did A leave?
Options- A. 1.125
- B. 0.625
- C. 0.375
- D. 0.875 Also asked in: Bank Exams
Correct Answer: 0.875
- 10. A can do a certain job in 12 days. B is 60% more efficient than A. Then B can do the same piece of work in
Options- A. 8 days
- B. 7.5 days
- C. 6.4 days
- D. 5.5 days Also asked in: Bank Exams
Correct Answer: 7.5 days
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