Cloth Makers Inc. has p spindles, each of which can produce q metres of cloth on an average in r minutes. If the spindles are made to run with no interruption, then how many hours will it take for 20000 metres of cloth to be produced ?

A. $$\frac{{20000{\text{pq}}}}{{\text{r}}}$$

B. $$\frac{{20000{\text{rq}}}}{{\text{p}}}$$

C. $$\frac{{20000{\text{r}}}}{{{\text{pq}}}}$$

D. $$\frac{{20000{\text{r}}}}{{60{\text{pq}}}}$$

Answer: Option D

Solution(By Examveda Team)

Length of the cloth produced in 1 hour
$$\eqalign{ & {\text{ = }}\left( {\frac{{{\text{pq}}}}{{\text{r}}} \times 60} \right){\text{ m }} \cr & = \left( {\frac{{60{\text{pq}}}}{{\text{r}}}} \right){\text{ m}} \cr & \therefore {\text{Required time}} \cr & = \left( {20000 \div \frac{{60{\text{pq}}}}{{\text{r}}}} \right){\text{ hours }} \cr & {\text{ = }}\left( {\frac{{20000{\text{r}}}}{{60{\text{pq}}}}} \right){\text{ hours}} \cr} $$