Quiz Discussion

A and B can complete a piece of work in 12 and 18 days respectively. A begins to do the work and they work alternatively one at a time for one day each. The whole work will be completed in ?

• 1]

  \({ \text{14}}\frac{1}{3}{ \text{ days}}\)

• 2]

  \({ \text{15}}\frac{2}{3}{ \text{ days}}\)

• 3]

  \({ \text{16}}\frac{1}{3}{ \text{ days}}\)

• 4]

  \({ \text{18}}\frac{2}{3}{ \text{ days}}\)

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

A can build a wall in the same time in which B and C together can do it. If A and B together can do it. If A and B together could do it in 25 days and C alone in 35 days, in what time could B alone do it ?

• 1] 91 days
• 2] 100 days
• 3] 175 days
• 4] None of these

Twenty women can do a work in sixteen days. Sixteen men can complete the same work in fifteen days. What is the ratio between the capacity of a man and a woman?

• 1]

  3 : 4

• 2]

  4 : 3

• 3]

  5 : 3

• 4]

  Data Inadequate

A started a ,work and left after working for 2 days. Then B was called and he finished the work in 9 days. had A left the work after working for 3 days, B would have finished the remaining work in 6 days. In how many days can each of them, working alone, finish the whole work ?

• 1] 2.5 days, 7.5 days
• 2] 5 days, 8.5 days
• 3] 5 days, 15 days
• 4] None of these

40 men can complete a piece of work in 18 days. Eight days after they started working together, 10 more men joined them. How many days will they now take to complete the remaining work ?

• 1] 6 days
• 2] 8 days
• 3] 10 days
• 4] 12 days

A and B work together to complete the rest of a job in 7 days. However,\(\frac{{37}}{{100}}\) the job was already done. Also, the work done by A in 5 days is equal to the work done by B in 4 days. How many days would be required by the fastest worker to complete the entire work?

• 1] 20
• 2] 25
• 3] 30
• 4] 10

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 alone take to do it ?

• 1] 30 days
• 2] 40 days
• 3] 50 days
• 4] 70 days

If A and B together can complete a work in 18 days, A and C together in 12 days, and B and C together in 9 days, then B alone can do the work in:

• 1] 18 days
• 2] 24 days
• 3] 30 days
• 4] 40 days

A takes 10 days less than the time taken by B to finish a piece of work. If both A and B can do it in 12 days, then the time taken by B alone to finish the work is = ?

• 1] 30 days
• 2] 27 days
• 3] 20 days
• 4] 25 days