Question
A man travels 450 km to his home partly by train and partly by car. He takes 8 hrs 40 minutes if he travels 240 km by train and rest by car. He takes 20 minutes more if he travels 180 km by train and the rest by car. The speed of the car in km/hr is
Solution
Let the speed of train and car be a km/hr and b km/hr. According to the question ⇒ 240/a + 210/b = 8 hr + 40 min ⇒ 240/a + 210/b = ⇒ 240/a + 210/b = 26/3 ---(1) ⇒ 180/a + 270/b = 9 ---(2) Multiply by 3 in equation (1) and by 4 in equation (2) ⇒ 450/b = 10 ⇒ b = 45 km/hr Speed of car is 45 km/hr
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