Question

Shweta 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.

Answer 1

Let the speed of the train be t and the speed of the bus be b

Then $\frac{60}{t}$ + $\frac{(300-60)}{b}$ = 4 ----------(1)

Also, $\frac{100}{t}$ + $\frac{300-100}{b}$ = $\frac{25}{6}$ ----------(2)

Solving equation(1) and (2) we get,

t = 60$km/hr$ and b = 80$km/hr$