A truck driver drove 300 miles in 6 3/4 hours. How many miles per hour did the driver drive?
Answer:
The truck drove 44.445 miles per hour.
Step-by-step explanation:
Given:
Distance travelled driven by truck driver = 300 miles
Time taken = \(6\frac{3}{4}\) hours.
To find:
miles per hour did the driver drive=?
Solution:
Now, we know that, number of miles per hour is nothing but the speed of the truck.
we know that, distance = speed x time.
So, now, 300 miles = speed x 6 ¾ hours
\(300 = speed\times \frac{(6\times4+3)}{4}\)
\(300 = speed\times\frac{(24+3)}{4}\)
\(300 = speed\times\frac{27}{4}\)
\(Speed = 300\times\frac{4}{27}\)
\(Speed = 100\times\frac{4}{9}\)
\(Speed = \frac{400}{9}\)
Speed = 44.445