Question

if a taxi covers the distance of 350 kilometres in 7 hours then how many kilometres would it cover in 1 hours use the formulas e speed​

Answer 1

Answer :

⇢ The distance travelled by the car in 1 hour is 50 kilometers.

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Step-by-step explanation:

Given :

⇢ Distance travelled by the taxi in 7 hours is 350 kilometer.

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To Find :

⇢ The distance travelled by the car in 1 hour by using the formula of Speed. i.e. Speed = distance / time

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According to question,

(i) Speed in Case 1. where Distance is 350 km the Time is 7 hours and the Speed = ?

⇢Speed = distance / time

⇢Speed = 350 / 7

⇢Speed = 50 km/h

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(ii) Speed in Case 2. where Speed is 50 km/h , the Time is 1 hour and the Distance = ?

Put the value of Speed = 50 km/h for distance travelled in 1 hour

⇢Speed = distance / time

⇢ 50 km/h = distance / 1

⇢ distance = 50 km

⇢ The distance travelled by the taxi in 1 hour is 50 kilometers.

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Answer 2

The taxi covers 50 km in 1 hour.

The problem revolves around the concept of a body in motion and when the body is in motion it will have some speed with which it is travelling with, some distance that it travels or covers within a certain time period.

The speed is defined to be the total distance travelled by the object divided by the total time taken to cover that distance.

Hence these 3 physical quantities are related together to form an equation given as:

$Speed=\frac{Distance}{Time}$

The distance covered by the taxi as well as the time taken by the taxi to cover this distance is already given as 350 km and 7 hours respectively. The speed of the taxi needs to be found out.

Given,

$d=350\;km$

$t=7\;hr$

Thus, by substituting the values into the above formula we get:

$Speed=\frac{350}{7}$

$\implies s=50\;km/hr$

This would be the speed of the taxi. This speed is constant which means that this speed is not only for the 350 km travelled by the taxi. The taxi would travel with the same speed throughout.

This is because the distance and time measures change as given but since these these two quantities are variable the constant quantity out of the 3 would be speed.

The number of kilometres covered in 1 hour that is the distance travelled by the taxi per hour for the same speed is to be calculated.

Since, the speed is the same and the time taken is now 1 hour we have:

$s=50\;km/hr$

$t=1\;hr$

We know the above formula for speed; by rearranging the terms to make distance as the subject we have:

$Distance=Speed\times Time$

By substituting the values for this case we get:

$Distance=50\times 1$

$\implies Distance=50\;km$

Thus, this is the distance covered per hour with the constant speed 50 km/hr.

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