a) 60 km/hr
b) 64.80 km/hr
c) 54 km/hr
d) 37.5 km/hr
Answer: c
Explanation:
$$\eqalign{
& {\text{In these type of questions use the given}} \cr
& {\text{below formula to save your valuable time}} \cr
& \frac{{{{\text{S}}_1}}}{{{{\text{S}}_2}}}{\text{ = }}\sqrt {\frac{{{{\text{T}}_2}}}{{{{\text{T}}_1}}}} {\text{ }} \cr
& {\text{Where }}{{\text{S}}_1}{\text{,}}{{\text{S}}_2}{\text{ and }}{{\text{T}}_1}{\text{, }}{{\text{T}}_2}{\text{ are the respective}} \cr
& {\text{speeds and times of the objects}} \cr
& \Rightarrow \frac{{45}}{{{{\text{S}}_2}}} = \sqrt {3\frac{1}{3} \div 4\frac{4}{5}} \cr
& {\text{ = }}{{\text{S}}_2}{\text{ = 45}} \times \frac{6}{5}{\text{ = 54 km/hr}} \cr
& {\text{Required speed = 54 km/hr}} \cr} $$
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