Question

A train travels 650 km in five hours. How much distance will it cover in 12 hours? How long will it take to travel 975 km?​

Answer 1

⇒ Given:

A train travels 650 km in five hours.

⇒ To Find:

How much distance it will cover in 12 hours.

How long it will take to travel 975 km.

⇒ Solution:

Distance travelled in five hours = 650 km

Distance travelled in one hour [Speed] = 650/5 = 130 km

Part (a): How much distance it will cover in 12 hours.

The train travels 130 km in 1 hour.

So the distance it travels in 12 hours is:

130 x 12 = 1560 km

Part (b): How long will it take to cover 975 km.

Distance travelled = 975 km

Speed of the train = 130 km/h

We know that:

$\sf{Speed=\dfrac{Distance}{Time}}$

Substituting the values in the equation:

$\sf{130=\dfrac{975}{Time}}$

$\sf{Time=\dfrac{975}{130}}$

$\sf{Time=7.5\:hours}$

The train will take 7 hours 30 minutes.

⇒ Final answers:

(a) 1560 km

(b) 7 hours 30 minutes