Question 1102979
i believe your solution is going to be selection A:  50h + 40k = 470


here's why.


rate * time = distance is the formula to use.


you are told that he drove for h hours at 50 miles per hour.


let d1 be the distance traveled at that rate of speed.


you are then told that he drove the remaining distance in k hours and that his average speed for the k hours was 40 miles per hour.


let d2 be the distance traveled at that rate of speed.


rate * time = distance formula becomes:


50h = d1
40k = d2


you know that d1 + d2 = 470


just replace d1 and d2 in this equation with their equivalent values of 50h and 40k and you get 50h + 40k = 470


that's selection A.