Question

Sam drove for 2 hours at 45 mph. He has the same distance remaining. How fast should he drive to make his average speed 60 mph?

Answer 1

Answer: 90mph

Step-by-step explanation:

2 hrs @ 45 mph=90 miles

90/45+90/x=180/60

2+90/x=3

90/x=1

x=90 miles an hour speed needed to average 60 miles per hour for the whole trip

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Answer 2

90 miles per hour is needed to make his average speed 60 mph

Solution:

Given that,

Sam drive for 2 hours at 45 mph

Find the distance:

$Distance = speed \times time \\\\Distance = 45 \times 2 \\\\Distance = 90\ miles$

He has the same distance remaining

Let "x" be the speed to cover same distance remaining

Then,

$\frac{90}{45} + \frac{90}{x} = \frac{90+90}{60}\\\\2 + \frac{90}{x} =3\\\\ \frac{90}{x} = 1\\\\x = 90$

Thus 90 miles per hour is needed to make his average speed 60 mph

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