Acar takes 4 hours to reach a destination traveling at a speed of 63 km/h. how long will it take to cover the same distance if the car travels at the speed of 56 km/h? do these quantities (time and speed) vary directly or inversely? find the constant of variation.

It will take 4.5hrs to cover the same distance

The constant of variation,k=252

Step by step explanation

Given that,

From the question

Time=4hr

Speed=63km

By substitution we obtain,

Cross multiplying we get,

Now,

speed=56km

Distance Covered=252km

By substitution:

We obtain,

Cross multiply

Divide through by 56

From the formula,

Which means that, speed and time varies inversely.

Let k be variation constant

This implies that

Taken,

Time=4hrs

speed=56km

x = ± 6i

step-by-step explanation:

x^2 = -36

take the square root of each side

sqrt(x^2) = sqrt(-36)

we know sqrt(ab) = sqrt(a) sqrt(b)

x = ±sqrt(36) sqrt(-1)

we know that sqrt (-1) = i

x = ± 6i