A men travels 600 km to his home partly by train and partly by car. He takes 8 hours if he travels 120 km by train and rest by car. He takes 20 min longer if he travels 200km by train and rest by car. Find the speed of train and that of the car.
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Answer:
60km/h
Step-by-step explanation:
Given
Total distance = 600 km
Consider speed of Train = x km/h
Consider speed of Car = y km/h
According to the question:
We know Time = distance/speed
Situation 1
He takes 8 hours if he travels 120 km by train and rest by car
120/x + 480/y = 8-------(1)
Situation (2)
when he travels 200 km by train and rest by car he takes 8 hr 20 min
8 hr 20 min = 25/3 hr
200/x + 400/y = 25/3 ---------(2)
solve equation 1 and 2
you'll get x = 60
so the speed of the train = 60 km/h(option 7)
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