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