the scale on map is 0.25 centimeter to 50 kilometers.find the actual distance between two towns represented by 10 centimeter on the map?(Time)

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- Apr 15th 2008, 06:10 PMBeBeMalaplease help
the scale on map is 0.25 centimeter to 50 kilometers.find the actual distance between two towns represented by 10 centimeter on the map?(Time)

- Apr 15th 2008, 06:15 PMTheEmptySet
The key thing to remember is that the units must match in a ratio problem

$\displaystyle \frac{map}{actual}$

$\displaystyle \frac{.25cm}{50km}=\frac{10cm}{x}$

Clear the fractions by multiplying by the LCD (or cross multiply)

$\displaystyle (0.25cm)x=(10cm)(50km) \iff x=\frac{(10cm)(50km)}{0.25cm}=2000km$