Question

if a car covers 75 km in 3 hours than how much distance will it cover in 5 hours

Answer 1

Answer:

the car cover 125 km in 5 hrs

Answer 2

Question:

If a car covers 75 km in 3 hours, then how much distance will it cover in 5 hours?

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Solution:

We are given that a car covers a distance of 75 km in 3 hours.

We have to find the distance, the car will cover in 5 hours.

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$\boxed {\sf {\large {Understanding\ the\ Concept}}}$

Here, the concept of direct proportion is used. To solve this question, we can even take the help of unitary method.

Why direct proportion is used in the question?

As the number of hours increases, then the distance covered by the car will also increase. In other words, when the number of hours increases from 3 hours to 5 hours, then the total distance will also increase from 75 km. Therefore it is in direct proportion.

We will solve this question using two methods (direct proportion and unitary method)

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Let's do it!

We know that,

$\sf \dfrac{x_{1} }{y_{1} } = \dfrac{x_{2}}{y_{2}}$      (refer to the attachment for the table)

On substituting the values,

$\sf \dfrac{75 }{3} = \dfrac{x_{2}}{5}$

$\bigstar {\sf {\pink {Cross\ multiplication}}}$

75×5 = $\sf 3x_{2}$

$\sf \dfrac{75 \times 5}{3}=x_{2}$

25×5 = $\sf x_{2}$

$\boxed {\bf {\red {125\ km= x_{2}}}}$

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Alternate method:

Using unitary method, let's find the distance covered in 5 hours by the car.

Distance covered by the car in 3 hours = 75 km

Distance covered by the car in 1 hour = $\sf \dfrac{75}{3} km$ = 25 km

Distance covered by the car in 5 hours = (25×5) km

= 125 km

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Final answer:

$\boxed {\sf {\orange {Distance\ covered\ by\ the\ car\ in\ 5\ hours\ is\ 125\ km.}}}$