Question

Joe is traveling from one city to another. He is looking at a map and realizes that 4 cm represents 25 miles.He then used a ruler to measure the distance on the map between two cities that he is traveling. The distance between them is 160 cm. How far, in miles are the two cities apart?

Answer 1

The two cities are 1,000 miles apart

Explanation:

The key to solving this is in the scale given:

4cm represents 25 miles

4cm = 25 miles

∴ 1 cm = 25 ÷ 4 = 6.25 miles

Measured distance on map = 160cm

1 cm = 6.25 miles

∴ 160 cm = 160 × 6.25 = 1000 miles

∴ The two cities are 1,000 miles apart