Question

If p travelled the first half of a journey at 40 km/hr and the remaining distance at 50 km/hr, what is the average speed of his travel?

Answer 1

Answer:44.44

Explanation:

Answer 2

Given that,

p travelled the first half of a journey at 40 km/hr and the remaining distance at 50 km/hr.

To find,

The average speed of p.

Solution,

Let the total distance is x. For the first half, distance is x/2. So,

$40=\dfrac{x}{2t_1}$

$t_1=\dfrac{x}{80}\ .......(1)$

t₁ is time for first half

For the second half, distance is x/2. So,

$50=\dfrac{x}{2t_2}$

$t_2=\dfrac{x}{100}$

t₂ is time for second half

The average speed of p is given by :

$v=\dfrac{\text{total distance}}{\text{total time}}\\\\v=\dfrac{x}{(x/80)+(x/100)}$

$v=\dfrac{1}{\dfrac{1}{80}+\dfrac{1}{100}}\\\\v=44.45\ km/h$

So, the average speed of p's travel is 44.45 km/h.

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