Question: A model bridge is built on a scale of 1 : 28. If the length of the model bridge is 18 inches, then what is the actual length of the bridge?


A ) 46 ft
B ) 42 ft
C ) 10 ft
D ) 504 ft

Steps to derive

1 Scale of the model bridge = 1 : 28

2 Length of the model bridge = 18 in.

3 Let b be the actual length of the bridge.

 [Write the scale and its related proportion.]
4 128 = 18b

 [Cross multiply.]
5 b = 18 x 28 = 504

6 Actual length of the bridge = 504 inches = 504 x 1 / 12 = 42 ft.



Hence the right answer is Option B

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