It takes 0.26 minutes to travel 1000 feet
Solution:
Given that car traveling at a constant speed travels 175 miles in four hours
Distance = 175 miles
Time taken = 4 hours
Convert the units to feet and minute
Given that,
1 mile = 5280 feet
175 miles = 5280 x 175 feet = 918720 feet
Also we know that,
1 hour = 60 minutes
4 hours = 60 x 4 minutes = 240 minutes
Thus, we got,
Distance = 918720 feet
Time taken = 240 minutes
Find the speed of car
Speed is given by formula:
[tex]speed = \frac{distance}{time}[/tex]
[tex]speed = \frac{918720}{240} = 3828[/tex]
Thus speed of car is 3828 feet per minute
How many minutes will it take for the car to travel 1000 feet?
Let "x" be the minutes needed for 1000 feet
speed of car is 3828 feet per minute
1 minute = 3828 feet
x minute = 1000 feet
This forms a proportion. We can solve by cross multiplying
[tex]x \times 3828 = 1000 \times 1\\\\x = \frac{1000}{3828}\\\\x = 0.26[/tex]
Thus it takes 0.26 minutes to travel 1000 feet
