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 and B together can finish a work in 9 days. A alone can finish the work in 12 days. In how many days will B alone finish the work?

• 1]

  24

• 2]

  28

• 3]

  32

• 4]

  36

18 men or 36 boys working 6 hours a day can plough a field in 24 days. In how many days will 24 men and 24 boys working 9 hours a day plough the same field ?

• 1] 9 days
• 2] 10 days
• 3] 6 days
• 4] 8 days

To complete a work, A takes 50% more time than B. If together they take 18 days to complete the work, how much time shall B take to do it?

• 1] 30 days
• 2] 35 days
• 3] 40 days
• 4] 45 days

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

A and B working together completed a job in 5 days. If A works twice as efficiently as he actually did and B works \(\frac{1}{3}\) of actual efficiency, the work would have been completed in 3 days. Find the for A to complete the job alone.

• 1]

  \(6\frac{1}{2}\)

• 2]

  \(6\frac{1}{4}\)

• 3]

  \(6\frac{3}{4}\)

• 4]

  \(12\frac{1}{2}\)

• 5]

  None of these

A can do in one day three times the work done by B in one day. They together finish \(\frac{2}{5}\) of the work in 9 days. The number of days by which B can do the work alone is =?

• 1] 90 days
• 2] 120 days
• 3] 100 days
• 4] 30 days

A road of 5 m length will be constructed in 100 days. So, 280 workers were employed. But after 80 days it was found that only \({ \text{3}}\frac{1}{2}\) km road was completed. Now, how many more people were needed to finish the work in the specified time?

• 1] 480
• 2] 80
• 3] 200
• 4] 100

A does half as much work as B in one -sixth of the time.If together they take 10 days to complete a work, how much time shall B take to do it alone?

• 1] 13.33 days
• 2] 20 days
• 3] 30 days
• 4] 40 days

A can do a piece of work in 90 days, B in 40 days and C in 12 days. They work for a day each in turn i.e., first day A does it alone, B does it the second day and C the third day. After that A does it for another day, and so on. After finishing the work they get Rs. 240. If the wages are divided in proportion to the work done by them, find what each will get ?

• 1] A Rs. 24, B Rs. 54, C Rs. 162
• 2] A Rs. 22, B Rs.50, C Rs. 132
• 3] A Rs. 26, B Rs. 52, C Rs. 142
• 4] A Rs. 20, B Rs. 44, C Rs. 182