Quiz Discussion

Two pipes can fill an empty tank separately in 24 minutes and 40 minutes respectively and a third pipe can empty 30 gallons of water per minute. If all three pipes are open, empty tanks become full in one hour. The capacity of the tank (in gallons) is:

• 1] 800 gallons
• 2] 600 gallons
• 3] 500 gallons
• 4] 400 gallons

A is thrice as good a workman as B and so takes 60 days less than B for doing a job. The time in which they can do the job together is = ?

• 1]

  \(22\frac{1}{2}{ \text{days}}\)

• 2]

  30 days

• 3]

  45 days

• 4]

  60 days

Anuj and Manoj can together paint their house in 30 days. After working for 20 days, Anuj has to go out and Manoj finished the remaining working the next 30 days. If Manoj had gone away after 20 days instead of Anuj, then Anuj would have completed the remaining work in ?

• 1] 15 days
• 2] 20 days
• 3] 25 days
• 4] 35 days

A group of workers can complete a piece of work in 50 days, when they are working individually. On the first day one person works, on the second day another person joins him, on the third day one person joins them and this process continues till the work is completed. How many approximate days are needed to complete the work ?

• 1] 8 days
• 2] 9 days
• 3] 10 days
• 4] 11 days

Two pipes A and B can fill a tank in 36 min. and 45 min. respectively. Another pipe C can empty the tank in 30 min. First A and B are opened. After 7 minutes, C is also opened. The tank filled up in:

• 1] 39 min.
• 2] 46 min
• 3] 40 min.
• 4] 45 min.

A is thrice good a workman as B and therefore is able to finish a job in 40 days less than B. Working together they can do it in:

• 1] 15 days
• 2] 16 days
• 3] 18 days
• 4] 20 days

A can do a piece of work in 70 days and B is 40% more efficient then A. Then the number of days taken by B to do the same work is = ?

• 1] 40 dayd
• 2] 60 days
• 3] 50 days
• 4] 45 days

Three pipes A,B and C attached to a cistern. A can fill it in 10 min, B in 15 min, C is a waste pipe for emptying it. After opening both the pipes A and B, a man leaves the cistern and returns when the cistern should have been just full. Finding, however, that the waste pipe had left open, he closes it and the cistern now gets filled in 2 min. In how much time the pipe C, if opened alone, empty the full cistern?

• 1] 12 min
• 2] 16 min
• 3] 18 min
• 4] 15 min
• 5] None of these

A and B together can do a job in 2 days; B and C can do it in 4 days; A and C in \({ \text{2}}\frac{2}{5}\) days. The number of days required for A to do the job alone is = ?

• 1] 1
• 2] 3
• 3] 6
• 4] 12

A is 60% more efficient than B. In how many days will A and B working together complete a piece of work which A alone takes 15 days to finish?

• 1]

  \(\frac{{124}}{{13}}\) days

• 2]

  \(\frac{{113}}{{13}}\) days

• 3]

  \(\frac{{108}}{{13}}\) days

• 4]

  \(\frac{{131}}{{13}}\) days

• 5]

  \(\frac{{120}}{{13}}\) days