Question

Speed of a car is 50km/hr and returns at a speed 40 km/h calculate average speed

Answer 1

To find average speed, add the numbers together and divide by the amount of numbers there is

50 + 40 = 90

90/2 = 45

the average speed is 45km/hr

hope this helps

Answer 2

Answer:

Given :-

• $:\implies$ Speed in the forward direction, v₁ = 50 km/h
• $:\implies$ Speed during the return journey, v₂ = 40 km/h

To Calculate :-

• $:\implies$ Average speed, v(avg) = ??

Formula to be used :-

$: \implies{\sf{v(avg) = \dfrac{Total \: distance}{Total \: time \: taken}}}$

Solution :-

Now,

• $:\implies$ In this case we are neither given the total distance nor the total time taken.

Let,

• $:\implies$ The distance traveled in the forward direction be x
• $:\implies$ Total distance, d = x + x = 2x
• $:\implies$ Time taken during forward journey, t₁ = x/50 h
• $:\implies$ Time taken during the return journey, t₂ = x/40 h
• $:\implies$ Total time taken, t = x/50 + x/40 = 9x/200 h

Now,

$: \implies{\sf{v(avg) = \dfrac{Total \: distance}{Total \: time \: taken}}}$

$: \implies{\sf{v(avg) = \dfrac{2x }{ \frac{9x}{200}}}}$

$: \implies{\sf{v(avg) = \dfrac{2x}{9x} \times 200}}$

$: \implies{\sf{v(avg) = \dfrac{400x}{9x}}}$

$: \implies{\sf{v(avg) = \cancel\dfrac{400x}{9x}}}$

$: \implies{\sf{v(avg) = 44.44 \: km/h.}}$

Hence, the average speed of the whole journey is 44.44 km/h.