A model train is built using the scale 1:60. The actual length of the dining car is 2,100cm. Find the length of the dining car of the model train.
To find the length of the dining car of the model train, we can use the concept of the scale ratio.
The scale 1:60 means that 1 unit on the model train represents 60 units in real life.
Given that the actual length of the dining car is 2,100 cm, we need to set up a ratio equation to find the length of the dining car of the model train.
Let's represent the length of the dining car of the model train as 'x' (in cm).
The ratio equation would be:
1 (model train length) : 60 (actual length) = x (model train dining car length) : 2,100 (actual dining car length)
Using cross-multiplication, we can solve for 'x':
1 * 2,100 = 60 * x
2,100 = 60x
Now, we can solve for 'x' by dividing both sides of the equation by 60:
x = 2,100 / 60
x = 35
Therefore, the length of the dining car of the model train is 35 cm.
Cross multiply and solve for x.
1/60 = x/2100