SOLUTION: A jet bomber traveling 500 miles per hour arrived over its target at the same time as its fighter jet escort which left the same base 1/2 hour after the bomber took off. How many
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-> SOLUTION: A jet bomber traveling 500 miles per hour arrived over its target at the same time as its fighter jet escort which left the same base 1/2 hour after the bomber took off. How many
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Question 1098919: A jet bomber traveling 500 miles per hour arrived over its target at the same time as its fighter jet escort which left the same base 1/2 hour after the bomber took off. How many hours did it take a jet bomber to reach the target if the fighter jet traveled 600 miles per hour? Found 2 solutions by ikleyn, josmiceli:Answer by ikleyn(52798) (Show Source):
Your equation is
500*t = 600*(t-0.5),
where t is the time under the question.
The left side is the distance covered by the bomber.
The right side is the distance traveled by the fighter, which spent 0.5 hour less time to cover the same distance.
500t = 600t - 300 ====> 300 = 600t - 500t ====> 100t = 300 ====> t = = 3 hours.
Answer. 3 hours.
You can put this solution on YOUR website! What is the jet bomber's head start in miles: mi
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Start a stopwatch when the fighter jet leaves
Let = time in hrs on stopwatch when
the fighter jet catches the jet bomber
Let = distance in miles the fighter
jet travels until it catches up with jet bomber
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Equation for jet bomber:
(1)
Equation for fighter jet:
(2)
---------------------------
(1)
(1)
Plug (2) into (1)
(1)
(1)
(1)
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The jet bomber travels for hrs
before it reaches the target
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check:
(2)
(2)
(2) mi
and
(1)
(1)
(1)
(1) mi
OK
