A) 56 km/h
B) 64.8 km/h
C) 37.5 km/h
D) 54 km/h
Correct Answer: D
Solution :
\[\frac{\text{P }\!\!'\!\!\text{ s}\,\,\text{rate}}{\text{Q }\!\!'\!\!\text{ s}\,\,\text{rate}}=\sqrt{\frac{\text{Time}\,\,\text{taken}\,\,\text{by}\,\,\text{Q}\,\,\text{to}\,\,\text{reach}\,\,\text{A}}{\text{Time}\,\,\text{taken}\,\,\text{by}\,\,\text{P}\,\,\text{to}\,\,\text{reach}\,\,\text{B}}}\] \[\Rightarrow \]\[\frac{\text{45}}{\text{Q }\!\!'\!\!\text{ s}\,\,\text{rate}}=\sqrt{\frac{10}{3}\times \frac{5}{24}}=\sqrt{\frac{25}{36}}=\frac{5}{6}\] \[\therefore \]\[\text{Q }\!\!'\!\!\text{ s}\,\,\text{rate}=\left[ \frac{45\times 6}{5} \right]\,\,km/h=54\,\,km/h\]You need to login to perform this action.
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