Distance = Rate* Time

Question

A person drove at a speed of 49 miles per hour on a back road during a recent trip. They can drive the same distance at 98 mph on the interstate in one hour less. What is the distance they drove on the back​ road?

Answer 1

49 * T = 98 * (T-1)

49 T = 98 T - 98

0 = 49 T - 98

98 = 49 T

T = 2

49 mph * 2 hours = 98 miles

98 mph * 1 hour = 98 miles

98 miles

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