Grady rides his bike 60% faster than his little brother Noah. If Grady rides 12 miles further than Noah in two hours, how fast does Noah ride?
Let r represent the rate at which Noah rides.
Then 1.6r represents the rate at which Grady rides.
Time = 2 hours
Distance = rate x time
Distance of Grady = Distance of Noah + 12 miles
1.6r x 2 = r x 2 + 12
3.2r = 2r + 12
1.2r = 12
r = 10
Noah rides at the rate of 10 miles per hour.