Question 78

A person travels 285 km in 6 hrs in two stages. In the first part of the journey, he travels by bus at the speed of 40 km per hr. In the second part of the journey, he travels by train at the speed of 55 km per hr. How much distance did he travel by train?

Solution

Let the person travel be train = x hours

Person travel by bus = (6 - x)

The distance traveled by train = 55$$ \times $$x

The distance traveled by bus = 40$$ \times $$(6 - x)

40 (6 - x) + 55x = 285

240 - 40x + 55x = 285

15x = 285 - 240

15x = 45

x = $$\frac{45}{15}$$

x = 3 hours

Distance traveled by train = 55 $$ \times $$ 3 = 165 Km.

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