Time & Work

Q. Pipe A takes $\frac{3}{4}$ of the times required by pipe B to fill the empty tank individually. When an outlet pipe C is also opened simultaneously with pipe A and pipe B, it takes$\frac{3}{4}$ more time to fill the empty tank than it takes, when only pipe A and pipe B are opened together, If it takes to fill 33 hours when all the three pipes are opened simultaneously, then in what time pipe C can empty the full tank operating alone?

1. 50 hours
2. 44 hours
3. can't be determined
4. 66 hours

Q. Two pipes A and B can fill a tank in 24 hours and $\frac{120}{7}$ hours respectively. Harihar opened the pipes A and B to fill an empty tank and sometimes later he closed the taps A and B when the tank was supposed to be full. After that, it was found that the tank was emptied in 2.5 hours because an outlet pipe, connected to the tank was open from the beginning. If Harihar closed the pipe C instead of closing pipes A and B, the remaining tank would have been filled in :

1. 2 hours
2. 8 hours
3. 4 hours
4. 6 hours

Q. Sharma is 20% less efficient than Kelkar. If Kelkar can do a piece of work in 24 days, then the number of days required by Sharma to complete the same work alone.

1. can't be determined
2. 20
3. 30
4. 28.8

Q. Raja can do a piece of work in 14 days, while Rani can do the same work in 21 days. They started the work together but 3 days before the completion of the work, Raja left the work. The total number of days required to complete the work is :

1. 5
2. 8.5
3. 7
4. $10\frac{1}{5}$

Q. The number of days required by A, B and C to work individually is 6, 12 and 8 respectively. They started a work doing it alternatively. If A has started then followed by B and so on, how many days are needed to complete the whole work?

1. 8
2. 7.5
3. 8.5
4. $9\frac{1}{2}$

Q. A tank is connected with 8 pipes. Some of them are inlet pipes and rest work as outlet pipes. Each of the inlet pipe can fill the tank in 8 hours, individually, while each of those that empty the tank i.e., outlet pipe, can empty it in 6 hours individually. If all the pipes are kept open when the tank is full, it will take exactly 6 hours for the tank to empty. How many of these are inlet pipes?

1. 2
2. 5
3. 4
4. 6

Q. Milinda takes $8\frac{1}{3}$ hours more when she works alone in comparison of when she works with Bill. While Bill takes $5\frac{1}{3}$ hours more when he work alone in comparison to the time, when he works with Milinda. How long it will take Bill to complete the work alone?

1. 10 hours
2. 15 hours
3. 18 hours
4. 12 hours

Q. A contractor needs to complete a given work in 24 days. For every day that he finishes ahead of time, he gets an incentive 'I' and for every day that he finishes behind time, he needs to pay a penalty 'P'. He has a choice of two workers who work as follows: A completes the work in 24 days for 75% of the time and in 30 days for 25% of the time. B comlpetes the work in 20 days for 60% of the time and in 30 days for 40% of the time. At what ratio of P to I will the conctractor be indifferent of using A or B?

1. $\frac{7}{4}$
2. 2
3. $\frac{8}{3}$
4. $\frac{7}{3}$

Q. Anil, Bhuvan and Chandan take 10, 20, and 25 days to complete a job. What is the minimum time required to finish the job if not more than two of them work together on a single day and no two consecutive days have the same pair of people working?

1. 6.5 days
2. 7.5 days
3. $7\frac{21}{28}$ days
4. $6\frac{13}{15}$ days

Q. Tanveer constructs a wall working in a special way and takes 12 days to complete it. If $S_n$ is the length of the wall (in m) that he constructs on the nth day, then
$S_n=2n,0\le n\le 4S_n=8,forn=5S_n=3n-7,6\le n\le 12$
Find the total length of the wall he constructs in the first 10 days.

1. 31 m
2. 35 m
3. 113 m
4. None of these