Two planes leave from Atlanta, Georgia. One makes a 3-hr flight to Seattle, Wash

Question

Two planes leave from Atlanta, Georgia. One makes a 3-hr flight to Seattle, Washington, and the other makes a 4-hr flight to Boston, Massachusetts. The plane to Boston averages 24 mph slower than the plane to Seattle. If the total distance traveled by both planes 124 ml, determine the average speed of each plane. The plane to Seattle travels mph. The plane to Boston travels mph. Peggy competes in a biathlon by running and bicycling around a large loop through a city. She runs the loop one time and bicycles the loop five times. She can run 9 mph and she can ride 18 mph. If the total time it takes her to complete the race is 3 hr 30 min, determine the distance of the loop. The loop is mi. One pump can fill a pool in 10 hr. Working with a second slower pump, the pumps together can fill the pool in 6 hr. How fast can the second pump fill the pool by itself. It takes the second pump hr to fill the pool by itself. When studying wildlife populations, biologists sometimes use a technique called "mark-recapture." For example, a researcher captured and tagged 30 deer in a wildlife management area. several months later, the researcher observed a new sample of 90 deer and determined that 5 were tagged. What is the total number of deer in the population? There were deer in the population.

Explanation / Answer

Dear Student Thank you for using Chegg !! Given Time taken by flight (F1) from Georgia to Seattle 3 hrs Time taken by flight (F2) from Georgia to Boston 4 hrs Distance travelled by both planes = 3124 miles Let the speed of F1 be x miles / hour As per question speed of F2 = (x - 24) miles / hr To find Average speed of each plane Distance travelled by F1 = 3x Distance travelled by F2 = 4(x - 24) Total distance = 3x + 4 (x - 24) = 3124 7x - 96 = 3124 7x = 3220 x= 460 Average speed of F1 = 460 miles /hr Average speed of F2 = 436 miles /hr Solution

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