Question

a train is travelling at a speed of 75 km per hour how far it will travel in 20 minutes find the time required to cover 250 kilometres by using direct or inverse proportion formula​

Answer 1

Question:-

A train is travelling at a speed of 75 km/h.

1. How far it will travel in 20 minutes.

2. Find the time required to cover 250 km.

Solution:-

Given,

• The train is travelling at a speed of 75kmph.

As we know that:-

Train travels 60 km in an hour.

So,

60 min = 75km

20 min = x km

$\implies\sf \dfrac{75}{60} = \dfrac{x}{20}$

$\implies\sf 60x = 75 \times 20$

$\implies\sf x = \dfrac{1500}{60}$

$\tt\boxed{ x = 25\:km}$

Now,

Find the time required to cover 250 km.

$\implies\sf 60 \: min = 75 \: km$

$\implies\sf x \: min = 2500 \: km$

$\implies\sf 75x \: min = 250 \times 60$

$\implies\sf x = \dfrac{15000}{75}$

$\tt\boxed{ x = 200\: min}$

Answer 2

Step-by-step explanation:

train is travelling at a speed of 75 km/h.

1. How far it will travel in 20 minutes.

2. Find the time required to cover 250 km.

Solution:-

Given,

The train is travelling at a speed of 75kmph.

As we know that:-

Train travels 60 km in an hour.

So,

60 min = 75km

20 min = x km

\text{ ⟹ \: \: 75/60 \: = \: x/20 \: } ⟹ 75/60 = x/20

\text{ ⟹ \: \: 60x \: = \: 75 × \: 20 \: } ⟹ 60x = 75 × 20

\text{ ⟹ \: \: x \: = \: 1500/60 \: } ⟹ x = 1500/60

\tt \boxed { \: x \: = \: 25 km \: }

x=25km

Now,

Find the time required to cover 250 km.

\text{ ⟹ \: \: 60 \: min \: = \: 75 \: km \: } ⟹ 60 min = 75 km

\text{ ⟹ \: \: x \: min \: = \: 2500 \: km \: } ⟹ x min = 2500 km

\text{ ⟹ \: \: 75x \: min \: = \: 250 \: × \: 60 \: } ⟹ 75x min = 250 × 60

\text{ ⟹ \: \: x \: = \: 15000/75 \: } ⟹ x = 15000/75

\tt \boxed { \: x \: = \: 200 min \: }

x=200min