Example 4 A train is moving at a uniform speed of 75 km/hour. (i) How far will it travel in 20 minutes?
Given,
Train is moving at a uniform speed of 75 km/hour
∴ Distance travelled by train in 1 hour = 75 km
i.e. Distance travelled by train in 60 minutes = 75 km
We need to find how far will the train travel in 60 minutes
Let train travel x km
Thus, our table looks like
Now, as distance increases
time taken to travel also increases
∴ They are in direct proportion.
75/60 = 𝑥/20
75/60 × 20= 𝑥
75/3 = 𝑥
25 = 𝑥
𝑥 = 25 km
∴ Train will travel 25 km
Example 4 A train is moving at a uniform speed of 75 km/hour. (ii) Find the time required to cover a distance of 250 km.
We need to find time required to cover a distance of 250 km
Let time required be y minutes
Thus, our table looks like
Since distance and time are in direct proportion
75/60 = 250/𝑦
75 × y = 60 × 250
𝑦 = (60 × 250)/75
𝑦 = (4 × 250)/5
𝑦 = (4 × 50)/1
𝑦 = 200 minutes
Converting to hours
𝑦 = 200/60 hours
𝑦 = 3 hours 20 min
∴ Train will require 3 hours 20 minutes

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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