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This document explores the fascinating migration of a flock of cranes traveling from Canada to Texas. Covering 2,500 miles in 14 days (336 hours), the cranes fly at an average speed of 25 miles per hour. We examine how to calculate the hours spent not flying during the journey. By setting up an equation based on flight speed and total time, we find that the cranes are not flying for 236 hours. Additionally, if the cranes shorten their journey to 12 days, we determine they would not be flying for 188 hours.
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BIRD MIGRATION A flock of cranes migrates from Canada to Texas. The cranes take 14 days (336 hours) to travel 2500 miles. The cranes fly at an average speed of 25 miles per hour. How many hours of the migration are the cranes not flying? EXAMPLE 5 Write and solve an equation
SOLUTION Let x be the amount of time the cranes are not flying. Then 336– xis the amount of time the cranes are flying. = 25 2500 (336 – x) EXAMPLE 5 Write and solve an equation
ANSWER The cranes were not flying for 236 hours of the migration. EXAMPLE 5 Write and solve an equation 2500 =25(336 – x) Write equation. 2500 = 8400 – 25x Distributive property Subtract 8400 from each side. –5900 =–25x 236 = x Divide each side by –25.
7. WHAT IF? Suppose the cranes take 12 days (288 hours) to travel the 2500 miles. How many hours of this migration are the cranes not flying? ANSWER 188 h EXAMPLE 5 for Example 5 Write and solve an equation GUIDED PRACTICE