Question

A car travels from City A to city B at a speed of 37 km/hr the same car returns back at a speed of 97 km/hr calculate the average speed of the car​

Answer 1

Answer:

car travels up a hill at a constant speed of 37km/h and returns down the hill at a constant speed of 66km/h. Calculate the average speed for the whole trip.

Answer 2

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The average speed is the ratio of total traveled distance to total time taken.

Let d be the total distance traveled by the car.

Thus distance traveled in each journey is d/2.

So, the time taken for going up the hill is t1 =

$\frac{d \2}{v1} = \frac{d \2}{37} = \frac{d}{74}$

Time taken to go going down the hill is t2 =

$\frac{d \2 }{66} = \frac{d}{132}$

Thus, average question is Vavg =

$\frac{d}{t1 \: + t2}$

$\frac{d}{d \74 \: + d \132 }$

=> 47.4 km.