UP POLICE CONSTABLE TIME AND WORK QUIZ-4

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Question 1:

If 12 men or 18 women can reap a field in 14 days, then working at the same rate, 8 men and 16 women can reap the same field in:

Question 2:

$A$ and $B$ can do a piece of work in 18 days. $B$ and $C$ together can do it in 30 days. If $A$ is twice as good a workman as $C$, find in how many days B alone can do the work?

Question 3:

A is three times as fast as B so completes the work, in 30 days less then B. In how many days the work will be completed if $A$ and $\mathrm{B}$ work together?

Question 4:

5 men and 8 women can do a piece of work in 12 days. 3 men and 7 women can do the same work, in 16 days. In how many days work will be completed if work is done by 8 men and 4 women?

Question 5:

$A$ completes a piece of work in 4 days and $B$ completes it in 6 days. If they both work together, then the number of days required to complete the same work is:

Question 6:

A, B and C can do a work separately in 18, 36 and 54 days, respectively. They started the work together, but B and C left after 5 days and 10 days, respectively. In how many days was the work finished?

Question 7:

A can complete a certain work in 30 days. $B$ is $25 \%$ more efficient than $A$ and $\mathrm{C}$ is $20 \%$ more efficient than $\mathrm{B}$. They all worked together for 3 days. B alone will complete the remaining work in.

Question 8:

Let the work done by $(x-1)$ men in $(x+1)$ days be $y$. Let the work done by $(x+2)$ men in $(x-1)$ days be $z$. If $y: z=9: 10$, then what is the value of $x$ ?

Question 9:

45 men can finish a task in 16 days. After 6 days, 30 more men join them. How many days, will they all, now take to complete the remaining task.

Question 10:

Atul, Mukesh and Manisha can complete a task in 12 days, 15 days and 18 days respectively. In how many days can Atul, Mukesh and Manisha together Complete the same task?