Respuesta :
Answer:
Part 1 .
As per the given statement: In t hours the train has traveled s miles.
Distance of the train = s mile
Time = t hours
Formula for :
Speed of the train(v) = [tex]\frac{\text{Distance of the train}}{\text{Time}}[/tex]
or
[tex]v = \frac{s}{t}[/tex] mph .....[1]
Substitute the value of t = 3 hours and s = 180 miles in [1], to solve for v;
[tex]v = \frac{180}{3} = 60 mph[/tex]
Therefore, the speed of the train(v) is, 60 mph
Part 2.
Similarly,
The formula for speed of the train (v) is given by;
[tex]v =\frac{s}{t}[/tex]
Substitute the value of t = 2.5 hours and s = 225 miles to solve for v;
[tex]v = \frac{225}{2.5} = 90 mph[/tex]
Therefore, the speed of the train(v) is, 90 mph
Answer:
a) v = 60 mph
b) v = 90 mph
Step-by-step explanation:
Let the time be t hours and Distance be s miles. Speed = v
We know that, speed = [tex]\frac{Distance}{Time}[/tex]
v = [tex]\frac{s}{t}[/tex]
Now when t =3 and s =180,
we have, v = [tex]\frac{180}{3}[/tex]
v = 60 mph
When t = 2.5 and s = 225
we have, v = [tex]\frac{225}{2.5}[/tex]
= [tex]\frac{2250}{25}[/tex]
v = 90 mph
