A man travels 450 km to his home partly by train and partly by car. He takes 8 hrs 40 mins if he travels 240 km by train and rest by car. He takes 20 mins more if he travels 180 km by train and the rest by car. The speed of the car in km/hr is?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 45
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Speed of train = X kmph. Speed of the car = Y kmph. Case 1: Time = distance/speed (240/X) + (210/Y) = 26/3 ....... (i) Case 2: (180/X) + (270/Y) = 9 ......(ii) By equation i × 3 - ii × 4, (720/X) + (630/Y) - (720/X) - (1080/Y) = (-450/Y) = -10 Y = 45 kmph. |