Question

Ramesh travels $760$ km to his home partly by train and partly by car. He takes $8$ hours if he travels $160$ km. by train and the rest by car. He takes $12$ minutes before if he travels $24$ km by train and rest by car. Find the speed of the train and car respectively.

Answer 1

Time taken $=\frac{160}{v_t}+\frac{600}{v_c}=8hrs\to \left(1\right)$

Time taken $=\frac{24}{v_t}+\frac{736}{v_c}=7.8hrs\to \left(2\right)$

From $\left(1\right),\left(2\right):v_t=85.56km/hr,v_c=97.88km/hrs$