Problema Solution
two cars which are 510 miles apart and whose speeds differ by 6 miles per hour
are moving toward each other. if they meet in 5 hours find the speed of each car (solve for speed for each)
Answer provided by our tutors
let
v1 = the speed of the first car
v2 = the speed of the second car
d = 510 mi the distance between the cars
t = 5 hr the time of the travel
the speeds differ by 6 miles per hour:
v2 = v1 + 6
since distance = speed*time we have:
v1*t + v2*t = d
t(v1 + v2) = d
5(v1 + v2) = 510 divide both sides by 5
v1 + v2 = 102
by solving the system of equations:
v2 = v1 + 6
v1 + v2 = 102
we find:
v1 = 48 mph
v2 = 54 mph
click here to see the step by step solution of the system of equations:
the speed of the cars are: 48 mph and 54 mph.