Out of 1900 km, Vishal travelled some distance by bus and some by aeroplane. Bus travels with average speed 60 km/hr and the average speed of aeroplane is 700 km/hr. It takes 5 hours to complete the journey. Find the distance, Vishal travelled ...

Answer: 150 km

Let the distance by bus be \(x\) km and by aeroplane \(y\) km. Time = distance ÷ speed.

\(x + y = 1900\) ... (I)
\(\frac{x}{60} + \frac{y}{700} = 5\). Multiply by 2100: \(35x + 3y = 10500\) ... (II)

Multiply (I) by 3: \(3x + 3y = 5700\). Subtract from (II): \(32x = 4800\), so \(x = 150\).

Then \(y = 1750\). Check: \(\frac{150}{60} + \frac{1750}{700} = 2.5 + 2.5 = 5\) hours, which is true.

Vishal travelled 150 km by bus.