Problema Solution
Frank made a business trip of 254 miles. He averaged 52 mph for the first part of the trip and 62 mph for the second part. If the trip took 4.5 hours, how long did he travel at each rate?
Answer provided by our tutors
let
t1 = the time he traveled with a rate of 52 mph
t2 = the time he traveled with a rate of 62 mph
t1 + t2 = 4.5
since distance = rate*time we have
52*t1 + 62*t2 = 254 divide both sides by 2
25t1 + 31t2 = 127
by solving the system of equations
t1 + t2 = 4.5
25t1 + 31t2 = 127
we find
t1 = 2.083 hr
t2 = 2.417 hr
click here to see the step by step solution of the system of equations
Frank traveled 2.083 hours with a rate of 52 mph and 2.417 hours with a rate of 62 mph.