Question 154741One morning, John drove 5 hours before stopping to eat. After lunch, he increased his speed by 10 mph. If he completed a 430-mile trip in 8 hours of driving time, how fast did he drive in the morning? : Let s = his speed in the morning then (s+10) = his speed in the afternoon ; A total of 8 hrs driving time, if he drove 5 hrs in the morning, He drove 3 hrs in the afternoon : Write a distance equation: Dist = time * speed : Morning miles + afternoon miles = 430 miles 5s + 3(s+10) = 430 ; 5s + 3s + 30 = 430 : 8s = 430 - 30 s = {{{400/8}}} s = 50 mph in the morning : : Check solution by finding the distance at the two speeds: 5(50) + 3(60) = 250 + 180 = 430