Question

A vehicle moving at a constant speed travels 45 miles in 3/4 hour. The driver thinks he will be late to a meeting that is still 65 miles away and that starts in 1.25 hours. Assume he maintains a constant speed. Find the driver's unit rate of speed and explain whether he was late or not. I REALLY need help!

Answer 1

1) we calculte the driver´s unit rate of speed.
s=speed
d=distance
t=time.

s=d/t


45 miles------------------3/4 hour
x----------------------------- 1 hour

x=(45 miles * 1 hour) / (3/4 hour)=60 miles.

speed or rate=60 miles / 1 hour.

2)we calculate the distance traveled at 1.25 hour.

distance=rate * time

distance=(60 miles /1 hour) * 1.25 hour=75 miles.

Answer: the driver would´t go late, because, the distance is 65 miles, and he can travel 75 miles if he drive with that speed .

Answer 2

ok so
speed=distance/time

find his speed in miles per 1 hour

3/4=0.75
s=d/t
s=45/0.75
s=60/1
s=60mph

starts in 1.25 hours
if he takes all that time, will he be late, on time, or early

multiply
60mph
1.25 hours
60 times 1.25=75
in 1.25 hour he can travel 75miles

he needs to only travel 65
75>65
he will make it
not late, he is early