Answer: It takes 3 hours to drive 135 miles at a speed of 45 miles per hour.
Step-by-step explanation:
Define Time and Distance and Speed:
The length of distance traveled is proportional to the time taken to cover the distance, and we can represent this relationship as
Distance ∝ Time (Eq. 1)
The speed of any object is directly proportional to the distance traveled and inversely proportional to the time taken.
Speed ∝ Distance (Eq.2)
Speed∝1/Time (Eq.3)
Then, we can represent each parameter through the following equations:
Speed =Distance/Time
Distance=Speed × Time
Time =Distance/Speed
We can write:
Distance covered by driving: d=135 miles
Driving speed: s=45 mph
Recall the formula for the relationship of time, distance, and speed.
Time =Distance/Speed
Substitute d=135 and s=45 into the above formula, and simplify.
t=d/s
t=135/45
t=3 hours
Thus, it takes 3 hours to drive 135 miles at a speed of 45 miles per hour.
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