Question

A boy walks for x hours at 33 mph and bicycles for (5−x) hours at 93 mph. If the total distance traveled is d miles, express d in terms of x.

Answer 1

d = 465 - 60x

Explanation:

1. Find the distances of walking and bicycling. We can express the walking distance as 33x, because x is the time and 33 is the amount of miles, and we can express the bicycling distance as 93(5-x), because 93 is the speed and 5-x is the amount of hours.

2. Construct an equation. We can say that the total distance is d = 33x + 93(5-x), the sum of both of the distances.

3. Simplify. If you simplify, you would get d = 465 - 60x

(This guy is going Super Saiyan)

Answer: d = 465 - 60x

Answer 2

speed = distance/time, so

distance = speed * time

Walking:
d = speed * time
d1 = 33 mph * x hours = 33x miles

Bicycling:
d = speed * time
d2 = 93 mph * (5 - x) hours = 93(5 - x) miles = (465 - 93x ) miles

The total distance traveled is the distance walked plus the distance bicycled

d = d1 + d2

d = 33x + 465 - 93x

d = -60x + 465