Question

a bus covers 128 km in 2 hours and a train covers 240 km in 3 hours . find the ratio of their speeds.

Answer 1

$$\begin{gathered} \mathrm{Distance}\mathrm{coverd}\mathrm{by}\mathrm{bus}=128\mathrm{m} \\ \mathrm{Time}\mathrm{taken}=2\mathrm{hrs} \\ \mathrm{Speed}\mathrm{of}\mathrm{bus}=\frac{\mathrm{distance}}{\mathrm{time}}=\frac{128}{2}=64\mathrm{km}/\mathrm{hr} \\ \mathrm{Distance}\mathrm{coverd}\mathrm{by}\mathrm{train}=240\mathrm{m} \\ \mathrm{Time}\mathrm{taken}=3\mathrm{hrs} \\ \mathrm{Speed}\mathrm{of}\mathrm{train}=\frac{\mathrm{distance}}{\mathrm{time}}=\frac{240}{3}=80\mathrm{km}/\mathrm{hr} \\ \mathrm{Ratio}\mathrm{of}\mathrm{speed}\mathrm{of}\mathrm{bus}\mathrm{to}\mathrm{speed}\mathrm{of}\mathrm{train}=\frac{\mathrm{speed}\mathrm{of}\mathrm{bus}}{\mathrm{speed}\mathrm{of}\mathrm{train}}=\frac{64}{80}=\frac{4}{5}=4:\hspace{0.17em}5 \end{gathered}$$