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

Answer:

99 miles

Step-by-step 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