A man travels 600 km partly by train and partly by car. It take 8 hrs 40 mins if he travels 320 km by train and rest by car. It would take 30 minutes more if he travels 200 km by train and rest by car. Find the speed of the train and the car.
Answers
Answer:
The speed of the train is 80 km/hr and the speed of car is 60 km/hr.
Step-by-step explanation:
Let the speed of train be x
Let the speed of car be y
Case 1
Total Distance = 600 km
He travels 320 km by train
So, Distance traveled by car = 600-320= 280 km
Time taken by train =
Time taken by car =
Since we are given that It take 8 hrs 40 mins if he travels 320 km by train and rest by car
So, Total time = 8 hrs 40 mins =
So, ---A
Case 2
Total Distance = 600 km
He travels 200 km by train
So, Distance traveled by car = 600-200= 400 km
Time taken by train =
Time taken by car =
Since we are given that It would take 30 minutes more
So, Total time = 8 hrs 40 mins + 30 minutes =
So, ---B
Solve A and B
Plot the lines on the graph
-- Red line
-- Blue line
Intersection point will provide the solution
Refer the attached figure
Intersection point = (80,60)
So, the speed of the train is80 km/hr and the speed of car is 60 km/hr.