Question

1o class exercise 3.6 2(iii)sums

Answer 1

(c) Roohi travels 300 km to her home partly by train and partly by bus. She takes 4 hours if she travels 60 km by train and the remaining by bus. If she travels 100 km by train and the remaining by bus, she takes 10 minutes longer. Find the speed of the train and the bus separately.

Solution: Let us assume that speed of train is x and speed of bus is y

First condition: She travels 60 km by train and 240 km by bus

Second condition: She travels 100 km by train and 200 km by bus

Subtracting first equation from second, we get;

24y + 48x – 15y – 60x = xy – xy

Or, 9y – 12x = 0

Or, 9y = 12x

Or, x = (3/4)y

Substituting the value of x in first equation, we get

Speed of train = 60 km/h and speed of bus = 80 km/h

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