Question

A car travels 165 km in 3 hours. How long will it take to travel 44
0 km?
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Answer 1

Question :

A car travels 165 km in 3 hours. How long will it take to travel 44 0 km ?

Solution :

Here , first of all , we need to find the speed factor using Speed-Distance formula . And , we are given distance and we have speed , so again with Speed-Distance formula , we can find Time .

Distance , D = 165 km

Time , T = 3 h

Speed , S = ? km/h

We know that ,

$:\implies \sf Speed=\dfrac{Distance}{Time}$

$:\implies \sf S= \dfrac{D}{T}$

$:\implies \sf S=\dfrac{165}{3}$

$:\implies \sf \orange{S=55\ km/h}\ \; \bigstar$

Now , we have ,

Speed , S = 55 km/h

Distance , D = 440 km

Time , T = ? h

$:\implies \sf Speed = \dfrac{Distance}{Time}$

$:\implies \sf 55 = \dfrac{440}{T}$

$:\implies \sf T= \dfrac{ 440 }{ 55 }$

$:\implies \sf \pink{T=8\ h}\ \; \bigstar$

It will takes 8 hrs to travel 440 km .

Answer 2

Given :-

• A car travels 165 km in 3 hours. How long will it take to travel 44 0 km?

Solution :-

Here, first of all, we need to find the speed factor using speed distance formula. And, we are given distance and we have speed, so again with Speed - Distance formula, we can find Time.

• Distance, (D) = ${\sf\underline{165~km}}$

• Time, (T) = ${\sf\underline{3~h}}$

• Speed, (S) = ${\sf\underline{? \: km/h}}$

★ We know that,

$\: \: \: \: \: \: \: \:$:$\implies{\sf{Speed = \frac{Distance}{Time}}}$

$\: \: \: \: \:$:$\implies{\sf{S = \frac{D}{T} }}$

$\: \: \: \: \: \: \: \:$:$\implies{\sf{S = \frac{165}{3}}}$

$\: \: \: \: \:$:$\implies{\sf\underline\red{S\:=\:55\:km/h}}$ $\large{\bf\green{✓}}$

Now, We have,

Speed, (S) = ${\sf\underline{55\:km/h}}$

Distance, (D) = ${\sf\underline{440\:km}}$

Time, (T) = ${\sf\underline{?\:h}}$

$\: \: \: \: \: \: \: \:\:\:$:$\implies{\sf{Speed = \frac{Distance}{Time}}}$

$\: \: \: \: \:$:$\implies{\sf{55 = \frac{440}{T}}}$

$\: \: \: \: \: \: \:\:\:\:$:$\implies{\sf{T = \frac{440}{55} }}$

$\: \: \: \: \:$:$\implies{\sf\underline\blue{T\:=\:8\:h}}$ $\large{\bf\green{✓}}$

Hence,

• It will takes 8 hrs to travel 440 km