एक कार 15 किमी / घंटा की गति45 क

1.	एक कार 15 किमी / घंटा की गति45 किमी की दूरीकी दूरी तय करतीयह अगले 50 किमी की यात्रा 25किमी / घंटा की गति से और अंतिम 25 किमी की यात्रा 10 किमी /घंटा की गती से पूरा करती है ।कार की औसत गति क्या है?
Answer» Given :- Car covers covers 45 kilometre at speed of 15 kilometre per hour. It covers next 50 kilometre at speed of 25 kilometre per hour. And covers last 25 kilometre at speed of 10 kilometre per hour . To FIND :- AVERAGE speed of the car. Solution :- $\boxed{\sf{Average\:Speed= \frac{Total\: Distance}{Total\: time \: taken } }}\\$ Firstly let's find total time taken in each case. 1st case :- → Distance covered by car = 45 kilometre → Speed of car = 15 kilometre per hour $\boxed{\sf{Time\:taken= \dfrac{Distance}{Speed} }}\\$ → $\sf{ \frac{45}{15} = 3 \: hours}\\$ To cover 45 kilometres the car took 3 hours . 2nd case :- → Distance covered by car = 50 kilometre → Speed of car = 25 kilometre per hour → $\sf{ \frac{50}{25} = 2\: hours}\\$ To cover 50 kilometre the car took 2 hours. 3rd case :- → Distance covered by car = 25 kilometre → Speed of car = 10 kilometre per hour → $\sf{ \frac{25}{10} = 2.5 \: hours}\\$ To cover 25 kilometre the car took 2.5 hours. → Now total distance covered by car = [45+50+25] kilometre Total distance = 120 kilometres → Total time taken = [3+2+2.5]hours Total time taken = 7.5 hours $\sf{Average\:speed = \dfrac{120}{7.5} = 16}\\$ So average speed of the car is 16 kilometre per hour.

एक कार 15 किमी / घंटा की गति45 किमी की दूरीकी दूरी तय करतीयह अगले 50 किमी की यात्रा 25किमी / घंटा की गति से और अंतिम 25 किमी की यात्रा 10 किमी /घंटा की गती से पूरा करती है ।कार की औसत गति क्या है?

Answer»

Given :-

Car covers covers 45 kilometre at speed of 15 kilometre per hour.

It covers next 50 kilometre at speed of 25 kilometre per hour.

And covers last 25 kilometre at speed of 10 kilometre per hour .

To FIND :-

AVERAGE speed of the car.

Solution :-

$\boxed{\sf{Average\:Speed= \frac{Total\: Distance}{Total\: time \: taken } }}\\$

Firstly let's find total time taken in each case.

1st case :-

→ Distance covered by car = 45 kilometre

→ Speed of car = 15 kilometre per hour

$\boxed{\sf{Time\:taken= \dfrac{Distance}{Speed} }}\\$

→ $\sf{ \frac{45}{15} = 3 \: hours}\\$

To cover 45 kilometres the car took 3 hours .

2nd case :-

→ Distance covered by car = 50 kilometre

→ Speed of car = 25 kilometre per hour

→ $\sf{ \frac{50}{25} = 2\: hours}\\$

To cover 50 kilometre the car took 2 hours.

3rd case :-

→ Distance covered by car = 25 kilometre

→ Speed of car = 10 kilometre per hour

→ $\sf{ \frac{25}{10} = 2.5 \: hours}\\$

To cover 25 kilometre the car took 2.5 hours.

→ Now total distance covered by car = [45+50+25] kilometre

Total distance = 120 kilometres

→ Total time taken = [3+2+2.5]hours

Total time taken = 7.5 hours

$\sf{Average\:speed = \dfrac{120}{7.5} = 16}\\$

So average speed of the car is 16 kilometre per hour.

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