QuestionA car and a motorcycle start from the same point and travel in opposite directions.
Given that the car travels at $50 \mathrm{~km} / \mathrm{h}$, while the motorcycle travels at $40 \mathrm{~km} / \mathrm{h}$, after how many hours will they be 315 km apart?

Studdy Solution
Solve the equation for time. Combine like terms:
$$90t = 315$$
Divide both sides by $90$ to isolate $t$:
$$t = \frac{315}{90}$$
Simplify the fraction:
$$t = \frac{7}{2}$$
$$t = 3.5$$
The time after which they will be $315 \, \text{km}$ apart is:
$\boxed{3.5}$ hours