# 9.A car takes 2 hours to reach a destination by traveling at a speed of 60 km/h. How long will it take when the car travels at the speed of 80 km/h?

Given that a car takes 2 hours to reach a destination by traveling at a speed of 60 km/h.And, let the time taken be x hours for travelling at the speed of 80 km/h.

We can see that, on increasing the speed, it will take less time to travel a distance. Thus the two quantities are in inverse proportions.<./br>
So, we have:∴$$x_1y_1 = x_2y_2$$

$$\Rightarrow 60 \times 2 = 80 \times x$$

$$\Rightarrow x = \frac { 3 }{ 2 } hours = 1\frac { 1 }{ 2 }$$ hrs.

Hence, the required time $$x= 1\frac { 1 }{ 2 }$$ hours.