Question

The Natchez Trace Parkway is a historical 444-mile route from Natchez, Mississippi, to Nashville, Tennessee. A couple drove the Trace in four days. Each day they drove 8 miles more than the previous day. How many miles did they drive each day?

Answer 1

99 miles

Explanation:

Length of the trace 444 miles

The couple drove that distance in four days doing as follow:

Lets call x the miles per day they drove

first day x miles

Second day 8 + x miles

Third day 8 + 8 + x miles

fourth day 8 + 8 +8 + x miles

Then we get the equation:

x + ( 8 + x ) + ( 16 + x ) + ( 24 + x ) = 444

Solving for x

4x + 48 = 444 4x = 444 - 48 4x = 396

x = 99 miles