Question

Tourists covered 255 km for a 4-hour ride by car and a 7-hour ride by train. What is the speed of the train, if it is 5 km/h greater than the speed of the car?

Answer 1

Speed of the car = 255 ÷ 4 = 63.75 km/h

Speed of the train = 63.75 + 5 = 68.75 km/h

Answer: 68.75 km/h

Answer 2

`\\ \text{Let the speed of the car is x km/h}\\ \text{Then, the speed of the train is x+5 km/hr}\\ \text{Now, 4 hr is the time of the car}\\ \text{and 7 hour is the time of the train}\\ \text{We know the formula}\\ \text{Distance }= \text{Velocity }* \text{ time}\\ \text{Distance travelled by car is 4x}\\ \text{Distance travelled by train is }7(x+5)\\ \text{The total distance is given by 255 km. Hence, we have}\\ 4x+7(x+5)=255\\ 4x+7x+35=255\\ 11x=220\\ x=20`

The speed of the car is 20 km/hr and hence the speed of the train is 2+5=25 km/hr.

The speed of the train is given by 25 km/hr.