) John has a map of Singapore drawn to a scale of 1:20000.(a) Calculate the actual distance, in kilometres, represented by 1 cm on the map.(b) The distance from SingPost Centre to 313@Somerset measures 46.5 cm on the map for a car journey. What is the actual driving distance?
Question
) John has a map of Singapore drawn to a scale of 1:20000.(a) Calculate the actual distance, in kilometres, represented by 1 cm on the map.(b) The distance from SingPost Centre to 313@Somerset measures 46.5 cm on the map for a car journey. What is the actual driving distance?
Solution
(a) The scale of the map is 1:20000, which means 1 cm on the map represents 20000 cm in real life. To convert this to kilometres, we divide by 100000 (since 1 km = 100000 cm). So, 1 cm on the map represents 20000/100000 = 0.2 km in real life.
(b) If 1 cm on the map represents 0.2 km in real life, then 46.5 cm on the map would represent 46.5 * 0.2 = 9.3 km in real life. Therefore, the actual driving distance from SingPost Centre to 313@Somerset is 9.3 km.
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