Quizzma Latest Questions

Calculating the Actual Length of a Railway Line from a Map Scale

The scale on a map is 1 : 200 000. A section of railway line measures 3.5 cm on the map. How long is the actual section of railway line in kilometres?
1. 7 km
2. 0.7 km
3. 70 km
4. 0.07 km




Leave an answer

Leave an answer

What is the capital of Egypt? ( Cairo )

1 Answer

  1. To find the actual length of the railway line, we can use the scale provided on the map.

    1. The scale of 1 : 200,000 means that 1 cm on the map represents 200,000 cm in reality.
    2. If the railway line measures 3.5 cm on the map, we can calculate the real length as follows:

    [ text{Actual length} = text{Map length} times text{Scale factor} ]

    [ text{Actual length} = 3.5 , text{cm} times 200,000 , text{cm} ]

    3. Calculating that gives:

    [ text{Actual length} = 700,000 , text{cm} ]

    4. Now, to convert centimeters to kilometers, we divide by 100,000 (since there are 100,000 cm in 1 km):

    [ 700,000 , text{cm} div 100,000 = 7 , text{km} ]

    Therefore, the actual length of the railway line is 7 km.

    The correct answer is 1. 7 km.

Related Questions