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- Question
6 boys and 8 girls can do job in 10 days , 26 boys & 48 women do work in 2 days. Find time taken by 15 boys and 20 girls to do same work ?
Options- A. 2 days
- B. 3 days
- C. 4 days
- D. 5 days
- Correct Answer
- 4 days
ExplanationOne day work of 6 boys and 8 girls is given as 6b + 8g = 1/10 -------->(I)
One day work of 26 boys and 48 women is given as 26b + 48w = 1/2 -------->(II)Divide both sides by 2 in (I) and then multiply both sides by 5
Now we get, 15b + 20g = 1/4.
Therefore, 15 boys and 20 girls can do the same work in 4 days.
- 1. Adam and Smith are working on a project. Adam takes 6 hrs to type 36 pages on a computer, while Smith takes 5 hrs to type 40 pages. How much time will they take, working together on two different computers to type a project of 120 pages?
Options- A. 8 hrs 45 min
- B. 8 hrs 42 min
- C. 8 hrs
- D. 8 hrs 34 min Discuss
- 2. 50 men can build a tank in 40days, but though they begin the work together, 5 men quit every ten days. The time needed to build the tank is ?
Options- A. 50 days
- B. 48 days
- C. 47.5 days
- D. 49 days Discuss
- 3. In a hostel, there was food for 1000 students for one month. After 10 days, 1000 more students joined the hostel. How long would the students be able to carry on with the remaining food?
Options- A. 10 days
- B. 15 days
- C. 20 days
- D. 5 days Discuss
- 4. 28 Men and 52 women working together completes a work in 22.5 days. 35 men and 65 women working together on same work will complete it in how many days?
Options- A. 16
- B. 18
- C. 19
- D. 21 Discuss
- 5. A tank has an inlet and outlet pipe. The inlet pipe fills the tank completely in 2 hours when the outlet pipe is plugged. The outlet pipe empties the tank completely in 6 hours when the inlet pipe is pluggeed. If there is a lekage also which is capable of draining out the liquid from the tank at half of the rate of outet pipe,them what is the time taken to fill the emty tank when both the pipes are opened?
Options- A. 3 hours
- B. 4 hours
- C. 5 hours
- D. None of these Discuss
- 6. After working for 8 days, Hari Ram finds that only 1/3 rd of the work has been done. He employs Satya who is 60% as efficient as Hari Ram. How many days more would Satya take to complete the work ?
Options- A. 24 1/2 days
- B. 25 3/2 days
- C. 24 2/3 days
- D. 26 2/3 days Discuss
- 7. Pavan and Sravan are two persons. If Pavan works with his actual efficiency and Sravan twice of his actual efficiency then it takes 25 days to complete the work. But If Pavan works twice of his actual efficiency and Sravan with his normal efficiency then the work is completed in 20 days. How many days would it take if Sravan alone works with his actual efficiency (in Days)?
Options- A. 50
- B. 100
- C. 70
- D. 35 Discuss
- 8. 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
- 9. 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
- 10. 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
Time and Work problems
Search Results
Correct Answer: 8 hrs 34 min
Explanation:
Number of pages typed by Adam in 1 hour = 36/6 = 6
Number of pages typed by Smith in 1 hour = 40/5 = 8
Number of pages typed by both in 1 hour = (6 + 8) = 14
Time taken by both to type 110 pages = (120 * 1/14) =
= 8 hrs 34 min.
Correct Answer: 50 days
Explanation:
50 men can build a tank in 40 days
Assume 1 man does 1 unit of work in 1 day
Then the total work is 50×40 = 2000 units
50 men work in the first 10 days and completes 50×10 = 500 units of work
45 men work in the next 10 days and completes 45×10 = 450 units of work
40 men work in the next 10 days and completes 40×10 = 400 units of work
35 men work in the next 10 days and completes 35×10 = 350 units of work
So far 500 + 450 + 400 + 350 = 1700 units of work is completed and
Remaining work is 2000 - 1700 = 300 units
30 men work in the next 10 days. In each day, they does 30 units of work.
Therefore, additional days required = 300/30 =10
Thus, total 10+10+10+10+10 = 50 days required.
Correct Answer: 10 days
Explanation:
After 10 days, the remaining food would be sufficient for the 1000 students for 20 more days
-->If 1000 more students are added, it shall be sufficient for only 10 days (as the no. of students is doubled, the days are halved).
Correct Answer: 18
Explanation:
Clearly total persons are increased in 28/35 :: 52/65 = 4:5.
As time is inversely proportional to men, so total time will decrease in the ratio 5:4.
Hence, 22.5 x 4/5 = 18 days.
Correct Answer: 4 hours
Explanation:
Rate of leakage = 8.33% per hour
Net efficiency = 50 - (16.66 + 8.33)= 25%
Time required = 100/25 = 4 hours
Correct Answer: 26 2/3 days
Explanation:
1/3 ---- 8
1 -------?
Hari can do total work in = 24 days
As satya is 60% efficient as Hari, then
Satya = 1/24 x 60/100 = 1/40
=> Satya can do total work in 40 days
1 ----- 40
2/3 ---- ? => 26 2/3 days.
Correct Answer: 100
Explanation:
Let the Efficiency of pavan be E(P)
Let the Efficiency of sravan be E(S)
Here Work W = LCM(25,20) = 100
Now, E(P+2S) = 100/25 = 4 ....(1)
E(2P+S) = 100/20 = 5 ....(2)
Hence, from (1) & (2) we get
E(S) = 1
=> Number of days Savan alone work to complete the work = 100/1 = 100 days.
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: 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: 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.
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