A train travels 300 kilometers in 3 hours. If it maintains a constant speed, how far will it travel in 5 hours?

Solution

trip 2 distance : 500

Solution steps

Given Time:

trip 1 : 3

trip 2 : 5

Given Distance:

trip 1 : 300

Represent the speed in terms of

x :

trip 1 : x

trip 1 Speed x Time 3 Distance 300

Write an equation for trip 1Distance = Speed

\cdot

Time

300 = x \cdot 3

Solve for

x, 300 = x \cdot 3 : x = 100

speed : 100

Represent the distance in terms of

y :

trip 2 : y

trip 2 Speed 100 Time 5 Distance y

Write an equation for trip 2Distance = Speed

\cdot

Time

y = 100 \cdot 5

Solve for

y, y = 100 \cdot 5 : y = 500

trip 2 distance : 500