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.