P can do a piece of work in 9 days. Q is 50% | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) The efficiency of $P$ is taken as $100\%$. Since $Q$ is $50\%$ more efficient than $P$,the efficiency of $Q$ is $150\%$.The ratio of efficiency of

Vedclass · Accepted Answer

$6$

Vedclass · Answer

(A) The efficiency of $P$ is taken as $100\%$. Since $Q$ is $50\%$ more efficient than $P$,the efficiency of $Q$ is $150\%$.The ratio of efficiency of $Q$ to $P$ is $150 : 100$,which simplifies to $3 : 2$.Since time taken is inversely proportional to efficiency,the ratio of time taken by $Q$ to $P$ is $2 : 3$.Given that $P$ takes $9$ days,which corresponds to $3$ parts in the ratio.Therefore,$1$ part corresponds to $\frac{9}{3} = 3$ days.Since $Q$ takes $2$ parts,the time taken by $Q$ is $2 	imes 3 = 6$ days.

$P$ can do a piece of work in $9$ days. $Q$ is $50\%$ more efficient than $P$. The number of days it takes for $Q$ to do the same piece of work is

Similar Questions

$18$ women can complete a work in $12$ days and $12$ men can complete the same work in $9$ days. In how many days will $8$ men and $8$ women complete that work? (in days)

$A$ is $4$ times as fast as $B$ and is,therefore,able to complete a work in $45$ $days$ less than $B$. $A$ and $B$,working together,can complete the work in (in $days$)

$A$ farmer can plough a field working $6 \text{ hours per day}$ in $18 \text{ days}$. How many $\text{hours per day}$ must the farmer work to finish the same work in $12 \text{ days}$?

Five men and $2$ boys,working together,can complete four times as much work per hour as a man and a boy working together. The ratio of the work completed by a man and a boy is:

Subhash can copy $50$ pages in $10$ $h$,Subhash and Prakash can copy $300$ pages in $40$ $h$. In how much time can Prakash copy $30$ pages? (in $h$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module