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- Question
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
- Correct Answer
- 12 days
ExplanationIt 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.
- 1. K, L and M can do a piece of work in 20, 30 and 60 days respectively. In how many days can K do the total work if he is assisted by L and M on every third day ?
Options- A. 15 days
- B. 13 days
- C. 12 days
- D. 10 days Discuss
- 2. K is 4 times as fast as L and working together, they can complete a work in 24 days. In how many days can L alone complete the work ?
Options- A. 30 days
- B. 40 days
- C. 120 days
- D. 80 days Discuss
- 3. B would have taken 10 hours more than what A would have taken to complete a task if each of them worked alone. Working together they can complete the task in 12 hours. How many hours would B take to do 50% of the task?
Options- A. 30
- B. 15
- C. 20
- D. 10 Discuss
- 4. 10 women can do a piece of work in 6 days, 6 men can do same work in 5 days and 8 children can do it in 10 days. What is the ratio of the efficiency of a woman, a man and a child respectively?
Options- A. 4 : 6 : 3
- B. 4 : 5 : 3
- C. 2 : 4 : 3
- D. 4 : 8 : 3 Discuss
- 5. Raman can do a work in 5 days, Jatin can do the same work in 7 days and Sachin can do the same work in 9 days. If they do the same work together and they are paid Rs 2860, then what is the share (in Rs) of Raman?
Options- A. 1260
- B. 700
- C. 900
- D. 870 Discuss
- 6. 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 Discuss
- 7. 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 Discuss
- 8. 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 Discuss
- 9. 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 Discuss
- 10. 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 Discuss
Time and Work problems
Search Results
Correct Answer: 15 days
Explanation:
In one day work done by K = 1/20
Work done by K in 2 days = 1/10
Work done by K,L,M on 3rd day =1/20 + 1/30 + 1/60 = 1/10
Therefore, workdone in 3 days is = 1/10 + 1/10 = 1/5
1/5th of the work will be completed at the end of 3 days.
The remaining work = 1 - 1/5 = 4/5
1/5 of work is completed in 3 days
Total work wiil be done in 3 x 5 = 15 days.
Correct Answer: 30 days
Explanation:
Given K=4L
-->K+L = 4L+L = 5L
These 5L people can complete the work in 24 days, which means L alone can do the work in (24 x 5)=120 days.
Hence, K alone can do the work in 120/4= 30 days.
Correct Answer: 15
Correct Answer: 4 : 8 : 3
Correct Answer: 1260
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.
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.
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
Correct Answer: 13 1/5 days
Explanation:
3/15 + 4/16 + x/24 = 1
Correct Answer: 7/2 min
Explanation:
Time taken to fill 2/7 = 1
Then to fill full 1 = ?
? = 1/(2/7) = 7/2 minutes.
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