Jill calculates that the distance between London and Manchester, England, is about 280,000 meters. If she drives at a rate of 80 kilometers per hour, how long will it take Jill to drive from London to Manchester?

Respuesta :

Answer:

It will take Jill 3 [tex]\frac{1}{2}[/tex]  hours  to drive from London to Manchester

Step-by-step explanation:

From the question above, what we are asks to find is the time taken for Jill to drive from London to Manchester.

To calculate the time taken, we simply need to use the formula;

V = [tex]\frac{d}{t}[/tex]

where v = speed or velocity

d = distance

t=time taken

From the question, d=280,000 meters

                               v = 80 kilometers per hour

                                t= ?

First we need to change 280, 000 meters to kilometers.

1 kilometer = 1000 meter

 x                 = 280, 000 meter

cross-multiply

1000 x = 280 000

Divide both-side of the equation by 1000

[tex]\frac{1000 X}{1000}[/tex] = [tex]\frac{280 000}{1000}[/tex]

x = 280 kilometers

d =280 kilometers

We can now proceed to insert our values into the formula;

V = [tex]\frac{d}{t}[/tex]

80 = [tex]\frac{280}{t}[/tex]

cross-multiply

80 t = 280

Divide both-side of the equation by 80

[tex]\frac{80 t}{80}[/tex]  =   [tex]\frac{280}{80}[/tex]

t = 3 [tex]\frac{1}{2}[/tex]  hours  or    3 hours 30 minutes

It will take Jill 3 [tex]\frac{1}{2}[/tex]  hours  to drive from London to Manchester