Question

Two buses travel to a place at 45 km/hr and 60 km/hr respectively If the second bus takes $5\frac{1}{2}$ hrs less than the first for the journey the length of the journey is

• A. 900 km
• B. 945 km
• C. 990 km
• D. 1350 km

Answer 1

The correct option is C 990 km

Let the length of the journey be x km. Then,
$\frac{x}{45}-\frac{x}{60}=\frac{11}{2}\Rightarrow \frac{4x-3x}{180}=\frac{11}{2}\Rightarrow \frac{x}{180}=\frac{11}{2}$
$\Rightarrow x=\frac{11\times 180}{2}=990km$