Problema Solution
two towns are 1300 miles apart. two teams meet after walking for 200 hours. if one team walks 2.5 miles per hour faster than the other, find the rate of each group
Answer provided by our tutors
Let
v = the rate of the slower group
v + 2.5 = the rate of the faster group
t = 200 hr the time that each team walked
d = 1,300 mi the distance between the cities
The sum of the distances that each of the teams walked is 1300 mi.
Using the formula distance = speed*time we have:
v*t + (v + 2.5)*t = d
200v + 200(v + 2.5) = 1300
........
click here to see the equation solved for v
........
v = 2 mph
v + 2.5 = 2 + 2.5 = 4.5 mph
The rate of the slower group is 2 mph.
The rate of the faster group is 2.5 mph.