Problema Solution
Two trains are traveling toward each other at a constant speed. The trains are currently 714 mies from each other. The speeds of the trains differ by 8 miles per hour. The trains will meet in seven hours, what is the speed of the faster train?
Answer provided by our tutors
let v1 and v2 be the speeds of the trains and v1>v2
the speeds of the trains differ by 8 miles per hour
v1 = v2 + 8
the train will meet in t = 7 hour
v1*t + v2*t = 714
v1*7 + v2*7 = 714
by solving the system of equations
v1 = v2 + 8
v1*7 + v2*7 = 714
we find
v1 = 55 mph
v2 = 47 mph
click here to see the step by step solution of the system of equations
the speed of the faster train is 55 miles per hour.