The ratio of powers of two motors is \( \dfrac{3\sqrt{x}}{\sqrt{x}+1} \), that are capable of raising \( 300 \, \text{kg} \) water in \( 5 \, \text{minutes} \) and \( 50 \, \text{kg} \) water in \( 2 \, \text{minutes} \) respectively from a well of \( 100 \, \text{m} \) deep. The value of \( x \) will be:
