This problem can be solved using two equations: The first represents the total trip, which is the miles driven in the morning added to those in the afternoon. Let's call the hours driven in the morning X and the hours driven in the afternoon Y. We get: X + Y = 248. The second equation relates the miles driven in the morning compared to the afternoon. Since 70 fewer miles were driven in the morning than the afternoon, then X = Y - 70. Now substitute the equation for morning hours (equation 2) into the total miles equation (equation 1). We get: (Y - 70) + Y = 248 2Y - 70 = 248 2Y = 318 Y = 159 We know that Winston drove 159 miles in the afternoon.
To find the morning hours, just substitute 159 into the equation for morning hours (equation 2) X = 159 - 70 X = 89 We now know that Winston drove 89 miles in the morning.
We can check our work by plugging both distances into the total distance equation: 89 + 159 = 248
