Hyder Ali 600 km to his home partly by train and partly by car. He takes 8 hours if he travels 120 km by train and the rest by car. He takes 20 minutes longer if he travels 200 km by train and the rest by car. Find the speed of the train and the car.
- Speed of the train = 60 km/h, Speed of the car = 80 km/h.
- Speed of the train = 70 km/h, Speed of the car = 90 km/h.
- Speed of the train = 90 km/h, Speed of the car = 70 km/h.
- None of these
Explanation
Let the speed of the train be x km/h and the speed of the car be y km/h.
Case 1: He travels 120 km by train and the rest (480 km) by car, taking 8 hours in total.
Time taken by train = Distance / Speed = 120 km / x km/h = 120/x hours
Time taken by car = Distance / Speed = 480 km / y km/h = 480/y hours
Total time = 8 hours = (120/x) + (480/y)
Case 2: He travels 200 km by train and the rest (400 km) by car, taking 8 hours 20 minutes (or 8.33 hours) in total.
Time taken by train = Distance / Speed = 200 km / x km/h = 200/x hours
Time taken by car = Distance / Speed = 400 km / y km/h = 400/y hours
Total time = 8.33 hours = (200/x) + (400/y)
Now, we have two equations and two variables. Solving them simultaneously, we get:
x = 60 km/h (speed of the train)
y = 80 km/h (speed of the car)
Related MCQs
- 50 km/hour
- 100 km/hour
- 150 km/hour
- None of these
اس سوال کو وضاحت کے ساتھ پڑھیں
- 3 hours 30 minutes, treating the speed change as extra delay.
- 3 hours 18 minutes, being 48 + 48 12 minutes plus 1 hour 30 minutes.
- 2 hours 48 minutes, using an overall average speed.
- None of these
اس سوال کو وضاحت کے ساتھ پڑھیں
- 60 minutes
- 90 minutes
- 108 minutes
- 120 minutes
اس سوال کو وضاحت کے ساتھ پڑھیں
- 10 minutes
- 15 minutes
- 20 minutes
- 25 minutes
اس سوال کو وضاحت کے ساتھ پڑھیں
- 6
- 8
- 10
- 12
اس سوال کو وضاحت کے ساتھ پڑھیں
