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How long will it take
you to
drive 135 miles at a speed of
45 miles per hour?


Sagot :

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

      DistanceTime          (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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