Question

say correct answer only​

Answer 1

✰ 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 ✰

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

Answer 2

ANSWER:

distance covered in 5 hours = 125 km

Given:

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

• Distance covered in 3 hours = 75 km

SOLUTION:

To find:

Distance covered in 5 hours

• First we have to find distance covered in 1 hour

So , 75 ÷ 3 = 25 km

Distance covered in 1 hour = 25 km

Then distance covered in 5 hours

= distance covered in 1 hour × give time (5hours)

= 25 × 5

= 125 km

Therefore, distance covered in 5 hours = 125 km