Problema Solution
You and your friend left a bus terminal at the same time and traveled in opposite directions. Your bus was in heavy traffic and had to travel 20 miles per hour slower than you friend's bus. After 3 hours, the buses were 270 miles apart. How fast was each bus going?
Answer provided by our tutors
let
v = the average speed of your bus
v + 20 = the average speed of your friend's bus
t = 3 hr the time of the travel
since distance = speed*time we have
v*t + (v + 20)*t = 270
3v + 3(v + 20) = 270
by solving we find:
v = 35 mph
click here to see the step by step solution of the equation:
35 + 20 = 55 mph
the average speeds of the buses were 35 mph and 55 mph.