Word Problem

Question

A dog chases a squirrel. The dog is originally 200 feet away from the squirrel. The dog’s speed is 150 feet per minute. The squirrel’s speed is 100 feet per minute. How long will it take for the dog to get the squirrel?

A dog chases a squirrel. The dog is originally 200 feet away from the squirrel. The dog’s speed is 150 feet per minute. The squirrel’s speed is 100 feet per minute. How long will it take for the dog to get the squirrel?

Answer 1

Let x = the distance the squirrel runs before it's caught,

then the dog runs 200 + x.

 

distance/rate = time

 

x/100 = (200+x)/150 =>x/2 = (200+x)/3 => 400 +2x = 3x => x = 400

 

The squirrel runs 400' in 4 minutes.