A man travels 600 km partly by train and partly by car .If he cover 400 km by train and the rest by car, it takes him 6 hours and 30 minutes . But if he travels 200 km by train and the rest by car , he takes 1/2 hours and longer. Find the speed of train that of the car.
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Answer:
Train speed = 100 km/hr
Car speed = 80 km/hr
Step-by-step explanation:
Speed of train = t km/hr
Speed of car = c km/hr
Case 1
400/t + (600-400)/c = 6.5 ( 6 hr 30 minutes = 6.5 hr)
400/t + 200/c = 6.5
400c + 200t = 6.5tc
Case 2
200/t + (600-200)/c = 7 ( 6.5 hr + 1/2 hr = 7)
200/t + 400/c = 7
200c + 400t = 7tc
Case 1 * 2 - Case 2
600c = 6tc
t = 100
Case 2 * 2 - Case 1
600t = 7.5tc
c = 80
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