SOLUTION: the scale of a map is 1:20000.Find the actual distance (in km) if the measurement on the map is 4cm

Algebra ->  Rate-of-work-word-problems -> SOLUTION: the scale of a map is 1:20000.Find the actual distance (in km) if the measurement on the map is 4cm      Log On


   

Question 807915: the scale of a map is 1:20000.Find the actual distance (in km) if the measurement on the map is 4cm
Found 2 solutions by josmiceli, MathLover1:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Set up the ratio:
+1+%2F+20000+=+4+%2F+x+ cm/km
Multiply both sides by +20000x+
+x+=+80000+ cm
+x+=+800+ m
+x+=+.8+ km

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

scale 1%3A20000 means that any measurement on the map is multiplied 20000 times in the distance represented
Thus; 4cm on the map will represent 4cm+%2A+20000+=+80000cm of distance on the ground
since 1m+=100cm, you have +80000cm%2F100=800m and since 1km=1000m
you have +800m%2F1000=0.8km
so, the actual distance is 0.8km