Question

5.A train is moving at a uniform speed of 80 km/hour.

(i) How far will it travel in 45 minutes?​

Answer 1

Answer:

• It will travel 60 km in 45 minutes.

Step-by-step explanation:

Given that:

• A train is moving at a uniform speed of 80 km/hour.

To Find:

• How far will it travel in 45 minutes?

There are two methods to solve this problem:

1. Using unitary method.
2. Using distance, time and speed formula.

Solving problem using unitary method:

∵ In 1 hour or 60 minutes distance covered = 80 km

∴ In 1 minute distance covered = 80/60 = 4/3 km

∴ In 45 minutes distance covered = (4 × 45)/3 = 60 km

Solving problem using formula:

We have,

• Speed = 80 km/hour
• Time = 45 minutes = 45/60 = 3/4 hour

Formula: Distance = Speed × Time

Distance = 80 km/hour × 3/4 hour

Distance = (80 × 3)/4 km

Distance = 60 km

Using both the methods we get the answer as 60 km.

Hence, we can say that a train will travel 60 km in 45 minutes.

Answer 2

Given that -

• A train is moving at a uniform speed of 80 km/hour.

To determine -

• How far will it travel in 45 minutes?

Solution -

• It travel 60 km in 45 minutes

Note -

• There are two ways to solve this question. Let's do this question by using both the ways.

Using concepts -

• Unitary method.
• Formula to find distance.

Using dimensions -

• To solve a question by using unitary method firstly we have to convert the given item for example, here 80 km/h are given, hence we have to tell that how much it cover in a minute. Then have to into the coming answer with 45(that have to find).
• Distance = Speed × Time

Full solution -

~ Let's do this question by using unitary method first'. Let's do it..!

↝ In 1 hour it covers = 80 km

↝ In 1 minute it cover = 80/60 = 8/6 = 4/3 kilometres. (∵ 1 minute = 60 seconds always).

↝ Henceforth, in 45 minutes it covers = (4×45)/3 = 180/3 = 60 kilometres

• Henceforth, 60 kilometres is that distance covered by train in 45 minutes.

~ Now let's do it by using formula to find distance. Let's carry on..!

↝ Distance = Speed × Time

Here,

★ Distance is ?

★ Speed is 80

★ Time is 3/4

↝ Distance = 80 × 3/4

↝ Distance = 20 × 3

↝ Distance = 60 km

• Henceforth, 60 kilometres is that distance covered by train in 45 minutes.