2025 EOY Sec 1 AHS P1 Q4

A bus took \(3 \frac{3}{4}\) hours to travel from a village in Malaysia to Singapore at an average speed of \(\mathrm{v}\) km/h.

1. Find the distance between the village in Malaysia and Singapore, in terms of \(\mathrm{v}\).

   [1]

2. If it increases its speed by \(8\) km/h, the bus will reach Singapore \(30\) minutes earlier. Find another expression, in terms of \(\mathrm{v}\), for the distance between the village in Malaysia and Singapore.

   [1]

3. Hence, by forming an equation, find the value of \(\mathrm{v}\).

   [3]