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- Question
P, Q, and R can do a job in 12 days together. If their efficiency of working be in the ratio 3 : 8 : 5, Find in what time Q can complete the same work alone?
Options- A. 36 days
- B. 30 days
- C. 24 days
- D. 22 days
- Correct Answer
- 36 days
ExplanationGiven the ratio of efficiencies of P, Q & R are 3 : 8 : 5
Let the efficiencies of P, Q & R be 3x, 8x and 5x respectively
They can do work for 12 days.
=> Total work = 12 x 16x = 192x
Now, the required time taken by Q to complete the job alone = days.
- 1. K can lay Highway road between two cities in 16 days. L can do the same job in 12 days. With the help of M, they completes the job in 4 days. How much days does it take for M alone to complete the work ?
Options- A. 47/7 days
- B. 59/6 days
- C. 48/5 days
- D. 57/5 days Discuss
- 2. P and Q can do a work in 4 hours and 12 hours respectively. P starts the work at 9am and they work alternately for one hour each. When will the work be completed ?
Options- A. 3 am
- B. 12 pm
- C. 1 pm
- D. 3 pm Discuss
- 3. Three taps P, Q and R can fill a tank in 12 hrs, 15 hrs and 20 hrs respectively. If P is open all the time and Q and R are open for one hour each alternately, starting with Q, then the tank will be full in how many hours ?
Options- A. 9 hrs
- B. 7 hrs
- C. 13 hrs
- D. 11 hrs Discuss
- 4. Kaushalya can do a work in 20 days, while kaikeyi can do the same work in 25 days. They started the work jointly.Few days later Sumitra also joined them and thus all of them completed the whole work in 10 days. All of them were paid total Rs.700. What is the Share of Sumitra?
Options- A. Rs.130
- B. Rs.185
- C. Rs.70
- D. can't be determined Discuss
- 5. Priya can do a work in 16 days. In how many days will the work be completed by Sai, if the efficiency of Sai is 60% more than that of Priya ?
Options- A. 8 days
- B. 12 days
- C. 14 days
- D. 10 days Discuss
- 6. 5 boys and 3 girls can together cultivate a 23 acre field in 4 days and 3 boys and 2 girls together can cultivate a 7 acre field in 2 days. How many girls will be needed together with 7 boys, if they cultivate 45 acres of field in 6 days?
Options- A. 4
- B. 3
- C. 2
- D. 1 Discuss
- 7. Meghana alone would take 32 hours more to complete a job than both Meghana and Ganesh together. If Ganesh worked alone, he took 12 1/2 hours more to complete it than both Meghana and Ganesh worked together. What time would they take if both Meghana and Ganesh worked together?
Options- A. 20 hrs
- B. 18 hrs
- C. 22 hrs
- D. 20.5 hrs Discuss
- 8. A single reservoir supplies the petrol to the whole city, while the reservoir is fed by a single pipeline filling the reservoir with the stream of uniform volume. When the reservoir is full and if 40,000 liters of petrol is used daily, the suply fails in 90 days.If 32,000 liters of petrol is used daily, it fails in 60 days. How much petrol can be used daily with out the supply ever failing?
Options- A. 64000 liters
- B. 56000 liters
- C. 78000 liters
- D. 60000 liters Discuss
- 9. 9 girls working 7 hours a day can complete a piece of work in 15 day. In how many days can 6 girls working for 9 hours a day, complete the same piece of work?
Options- A. 35/4 days
- B. 17.5 days
- C. 19 3/4 days
- D. 37/3 days Discuss
- 10. A woman fills a bucket in 6 minutes. 1845 buckets have to be filled from 8 am. to 9:30 am. How many woman employees should be employed for this task?
Options- A. 111
- B. 117
- C. 123
- D. 139 Discuss
Time and Work problems
Search Results
Correct Answer: 48/5 days
Explanation:
Amount of work K can do in 1 day = 1/16
Amount of work L can do in 1 day = 1/12
Amount of work K, L and M can together do in 1 day = 1/4
Amount of work M can do in 1 day = 1/4 - (1/16 + 1/12) = 3/16 ? 1/12 = 5/48
=> Hence M can do the job on 48/5 days = 9 (3/5) days
Correct Answer: 3 pm
Explanation:
Work done by P and Q in the first two hours, working alternately
= First hour P + Second hour Q
work is completed in 2 hours
Then, the total time required to complete the work by P and Q working alternately=2 x 3= 6hours
Thus, work will be completed at 3pm.
Correct Answer: 7 hrs
Explanation:
Given,
P can fill in 12 hrs
Q can fill in 15 hrs
R can fill in 20 hrs
=> Volume of tank = LCM of 12, 15, 20 = 60 lit
=> P alone can fill the tank in 60/12 = 5 hrs
=> Q alone can fill the tank in 60/15 = 4 hrs
=> R alone can fill the tank in 60/20 = 3 hrs
Tank can be filled in the way that
(P+Q) + (P+R) + (P+Q) + (P+R) + ....
=> Tank filled in 2 hrs = (5+4) + (5+3) = 9 + 8 = 17 lit
=> In 6 hrs = 17 x 6/2 = 51 lit
=> In 7th hr = 51 + (5+4) = 51 + 9 = 60 lit
=> So, total tank will be filled in 7 hrs.
Correct Answer: Rs.70
Explanation:
Efficiency of kaushalya = 5%
Efficiency of kaikeyi = 4%
Thus, in 10 days working together they will complete only 90% of the work.
[(5+4)*10] =90
Hence, the remaining work will surely done by sumitra, which is 10%.
Thus, sumitra will get 10% of Rs. 700, which is Rs.70
Correct Answer: 10 days
Explanation:
Ratio of efficiencies of Priya and Sai is
Sai : Priya = 160 : 100 = 8 : 5
Given Priya completes the work in 16 days
Let number of days Sai completes the work be 'd'
=> 5×16 = 8×d
d = 10 days.
Therefore, number of days Sai completes the work is 10 days.
Correct Answer: 2
Explanation:
Let workdone 1 boy in 1 day be b
and that of 1 girl be g
From the given data,
4(5b + 3g) = 23
20b + 12g = 23 .......(a)
2(3b + 2g) = 7
6b + 4g = 7 ........(b)
Solving (a) & (b), we get
b = 1, g = 1/4
Let number og girls required be 'p'
6(7 x 1 + p x 1/4) = 45
=> p = 2.
Hence, number of girls required = 2
Correct Answer: 20 hrs
Explanation:
Time taken by both Meghana and Ganesh to work together is given by =
Where
Therefore, time took by both to work together =
Correct Answer: 56000 liters
Explanation:
Let x liter be the per day filling and v litr be the capacity of the reservoir, then
90x + v = 40000 * 90 -----(1)
60x + v= 32000 * 60 ------(2)
solving eq.(1) and (2) , we get
x = 56000
Hence , 56000 liters per day can be used without the failure of supply.
Correct Answer: 17.5 days
Explanation:
Let the number of days be 'p'
As the work is same, we know that
Where M = Men, D = Days, H = Hours per day
Here M1 = 9, D1 = 15, H1 = 7
M2 = 6, D2 = p, H2 = 9
=> 9 x 15 x 7 = 6 x p x 9
=> p = 35/2 = 17.5 days.
Correct Answer: 123
Explanation:
We know that,
Here M1 = 1, D1 = 6 min, W1 = 1 and M2 = M, D2 = 90 min, W2 = 1845
=> M = 123
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