Ali and jake went on a cross country trip they took a train part of the way and took a bus the rest of the way they traveled a total of 1450 riding on the train 150 more kilometers than on the bus

let x=kilometers traveled by bus

let y = kilometers traveled by train

question how many kilometers did they travel by train?

=800 km

Step-by-step explanation:

Let the distance traveled by train be y and by bus be x.

Bus - x

Train - y

y=x+150 (since they traveled by train for a distance of 150 km more than by bus.)

The sum of the two is equal to 1450

x+y=1450

y=x+150

These two form simultaneous equations.

y+x=1450 ... i

y-x=150 ... ii

Adding ii to i gives:

2y=1600

Divide both sides by two

y=800

Distance traveled by train = y=800 km