Question

Rajesh travels 2/5 of his journey by car , 1/4 of his journey by bus and remaining 210 km by train . What is total length of journey

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{total}\mathrm{length}\mathrm{of}\mathrm{the}\mathrm{journey}=\mathrm{x}\mathrm{km} \\ \mathrm{Now},\mathrm{distance}\mathrm{covered}\mathrm{by}\mathrm{car}=\frac{2\mathrm{x}}{5}\mathrm{km} \\ \mathrm{Distance}\mathrm{covered}\mathrm{by}\mathrm{bus}=\frac{\mathrm{x}}{4}\mathrm{km} \\ \mathrm{Distance}\mathrm{covered}\mathrm{by}\mathrm{train}=210\mathrm{km} \\ \mathrm{Now},\mathrm{according}\mathrm{to}\mathrm{question}: \\ \mathrm{x}=\frac{2\mathrm{x}}{5}+\frac{\mathrm{x}}{4}+210 \\ \Rightarrow \mathrm{x}-\frac{2\mathrm{x}}{5}-\frac{\mathrm{x}}{4}=210 \\ \Rightarrow \frac{20\mathrm{x}-8\mathrm{x}-5\mathrm{x}}{20}=210 \\ \Rightarrow \frac{7\mathrm{x}}{20}=210 \\ \Rightarrow \mathrm{x}=600 \\ \mathrm{Total}\mathrm{length}\mathrm{of}\mathrm{journey}=600\mathrm{km} \end{gathered}$$