Flying 500 feet above ground prey flying 200 feet above groundhawk dive 20 ft per sec rising 10 ft per sec?

Question

a hawk is flying at 500 feet above ground her prey is flying at 200 feet above the ground the hawk dives at the rate of 20 feet per second the prey is rising at 10 feet per second

how long before the hawk catches her prey

how far above the ground does the hawk catch the prey

Answer 1

in 10 secs the hawk catches the prey at 300 ft

math is = total speed of convergence = 20+10 = 30 ft/sec

distance = 300 feet (500-200)

speed = dist/time; time = dist/speed = 300/30 = 10 secs

in 10 secs the prey will be caught

in 10 secs the hawk covers 20 * 10 = 200 feet.  therefore it has fallen from 500 by 200 feet ie to 300 feet

AM