Quiz Discussion

Two workers A and B are engaged to do a piece of work. A working alone would take 8 hours more to complete the work that when work together. If B worked alone, would take \({ \text{4}}\frac{1}{2}\) hours more than when working together. The time required to finish the work together is =?

• 1] 5 hours
• 2] 8 houras
• 3] 4 hours
• 4] 6 hours

A can do as much work as B and C together can do. A and B can together do a piece of work in 9 hours 36 minutes and C can do it in 48 hours. The time in hours that B needs to do the work alone, is ?

• 1] 18 hours
• 2] 24 hours
• 3] 30 hours
• 4] 12 hours

A can do a piece of work in 12 days and B in 20 days. If they together work on it for 5 days, and remaining work is completed by C in 3 days, then in how many days can C do the same work alone ?

• 1] 10 days
• 2] 9 days
• 3] 12 days
• 4] 15 days

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 litres of petrol is used daily, the supply fails in 90 days. If 32, 000 litres of petrol used daily, it fails in 60 days. How much petrol can be used daily without the supply ever failing?

• 1] 64000 litres
• 2] 56000 litres
• 3] 60000 litres
• 4] 78000 litres
• 5] None of these

To complete a piece of work A and B take 8 days, B and C 12 days. A, B and C take 6 days. A and C will take :

• 1] 7 Days
• 2] 7.5 Days
• 3] 8 Days
• 4] 8.5 Days

A can finish a work in 24 days, B in 9 days and C in 12 days. B and C start the work but are forced to leave after 3 days. The remaining work was done by A in:

• 1]

  5 days

• 2]

  6 days

• 3]

  10 days

• 4]

  10* 1/2 days

Two pipes can fill the cistern in 10hr and 12 hr respectively, while the third empty it in 20hr. If all pipes are opened simultaneously, then the cistern will be filled in:

• 1] 7.5 hr
• 2] 8 hr
• 3] 8.5 hr
• 4] 10 hr

Two pipes A and B can fill a cistern in 12 min and 16 min respectively. Both the pipes are opened together for a certain time but due to some obstruction, the flow of water was restricted to \(\frac{7}{8}\) of full flow in pipe A and \(\frac{5}{6}\) of full in pipe B. This obstruction is removed after some time and the tank are now filled in 3 min from that moment. How long was it before the full flow?

• 1] 8 min
• 2] 3 min
• 3] 5.6 min
• 4] 4.5 min
• 5] None of these

A group of workers was put on a job. From second day onwards, one worker was withdrawn each day. The job was finished when the last worker was withdrawn. Had no worker been withdrawn at any stage, the group would have finished the job in 55% of the time. How many workers were there in the group?

• 1] 15
• 2] 14
• 3] 12
• 4] 10
• 5] 8

Working together B and C take 50% more number of days than A, B and C together take and A and B working together, take \(\frac{8}{3} \)more number of days than A, B and C take together. If A, B, and C all have worked together till the completion of the work and B has received Rs. 120 out of total earnings of Rs. 450, then in how many days did A, B and C together complete the whole work?

• 1] 2 days
• 2] 4 days
• 3] 6 days
• 4] 8 days
• 5] 10 days