A person travels 600 km partly by train and partly by car. If he covers 400 km by train and the rest by car he takes 6 hours 30 minutes. But if he travels 200 km by train and the rest by car he takes half an hour longer. Find the speed of the train and that of the car
Answers
Answer
The speed of the train is 100 km/hr and speed of the car is 80 km/hr.
Solution:
Let the speed of the train be ‘x’ km/hr and the speed of the car be ‘y’ km/hr.
It is given that he travels 400 km partly by train and the rest i.e. (600-400) = 200 km by car
To travels this distance he takes 6 hours 30 minutes which is equal to
Also it is given that he travels 200 km by train and the rest i.e. (600-200) = 400 km by car and the time taken is half an hour longer i.e.
Distance = Speed × Time
Now,
→ equation 1
→ equation 2
Multiplying Equation 2 with 2 we get
→ equation 3
Subtracting [Equation 3] from [Equation 2] we get,
Now substituting the value of y in [Equation 2] we get
Thus the speed of the train is 100 km/hr and speed of the car is 80 km/hr.
Step-by-step explanation:
QUESTION
A person travels 600 km partly by train and partly by car. If he covers 400 km by train and the rest by car he takes 6 hours 30 minutes. But if he travels 200 km by train and the rest by car he takes half an hour longer. Find the speed of the train and that of the car ?
ANSWER
The speed of the train is 100 km/hr and speed of the car is 80 km/hr. Solution: Let the speed of the train be 'x' km/hr and the speed of the car be 'y' km/hr. Also it is given that he travels 200 km by train and the rest i.e. (600-200) = 400 km by car and the time taken is half an hour longer i.e.