The speed of a car is 40% more than that of a bus. A train covers 1020 km in $8\frac{1}{2}$ hours. How much distance will the car cover in $1\frac{3}{4}$hours if the speed of the bus is half the speed of the train?

147 km

Speed of train = \(\frac{1020}{8.5}\) = 120 km/h

So , Speed of bus = \(\frac{120}{2}\) = 60 km/h

According to question ,

40% = \(\frac{2}{5}\)

Ratio of speed of Bus to car is = 5 : 7

5R = 60 km/h

1R = 12 km/h

7R = 7 × 12 = 84 km/h

Distance traveled by car = 84 × \(\frac{7}{4}\) = 147 km