Question

George and Carmen went on a bicycle trip. they took a bus to their starting point, and then biked the rest. they traveled 325 kilometers in total, and they biked 75 kilometers more than they were bussed.

let x= kilometers traveled by bike and y= kilometers traveled by bus.

Answer 1

In the question there are numerous information's of immense importance already given. Let us write them down first
Distance traveled by bike = x km
Distance traveled by bus = y km
Total distance traveled by George and Carmen = 325 km
Then
x + y = 325
Another equation can be determined by
x - y = 75
x = y + 75
Now we will put the value of x in relation to y in the first equation.
x + y =325
y + 75 + y = 325
2y = 325 - 75
2y =250
y = 250/2
  = 125 km
Now putting the value of y in equation given below, we get
x + y = 325
x + 125 = 325
x = 325 - 125
  = 200 km
So the distance they biked is 200 km and the distance they traveled by bus is 125 km.