Question

The maximum speed of a train is 90 km per hour it takes 10 hours to cover a distance of

500 km find the ratio of its average speed to maximum speed.

plz give full answer with explanation
otherwise it will be reported ​

Answer 1

$\large\bf{Given...}$

Given that :

• Maximum speed of the train = $90\dfrac{km}{hr}$
• Time taken to cover $50km$ = $10hrs$

$\large\bf{To~ find...}$

We have to find the ratio of the train's average speed to maximum speed.

$\large\bf{Solution...}$

• Here, we are given that maximum speed of the train is $90\dfrac{km}{hr}$.

• Also, given that, the train takes $10hrs$ to cover the distance of $500km$.

• Now, we'll find the average speed of the train :

$:\implies{\bf{Average~ speed}}=\dfrac{Total~ distance}{Total~ time}$

$: \implies{\bf{Average~ speed}}= \dfrac{500km}{10h}$

$:\implies {\bf{Average~ speed}}= \dfrac{50\cancel{0}km}{1\cancel{0}hr}$

$:\implies {\bf{Average ~speed}}=50\dfrac{km}{hr}$

• Now, finding the ratio of average speed to maximum speed :

$: \implies90 \dfrac{km}{hr} : 50 \dfrac{km}{hr}$

$: \implies9 : 5$

________________

Therefore, the ratio of the train's average speed to maximum speed is $9:5$.