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

Algebra.Com
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(52802)   (Show Source): You can put this solution on YOUR website!
.
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.


See the lessons
    - Travel and Distance problems
    - Travel and Distance problems for two bodies moving in opposite directions
    - Travel and Distance problems for two bodies moving in the same direction (catching up)
in this site.



Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
What is the jet bomber's head start in miles:

mi
-------------------------
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
------------------------------------------
Equation for jet bomber:
(1)
Equation for fighter jet:
(2)
---------------------------
(1)
(1)
Plug (2) into (1)
(1)
(1)
(1)
-------------------
The jet bomber travels for hrs
before it reaches the target
----------------------------
check:
(2)
(2)
(2) mi
and
(1)
(1)
(1)
(1) mi
OK

RELATED QUESTIONS

A jet bomber traveling 500 miles per hour arrived over its target at the same time as its (answered by mananth)
a fighter plane first detects a bomber at a distance of 20 miles. if the fighter,... (answered by stanbon)
A jumbo jet left an airport at the same time as a small private plane that followed the... (answered by guapa)
a jet is travelling at 500 miles per hour determine the velocity of the jet in metres per (answered by ewatrrr)
A plane climbs into the jet stream which is flowing at a rate of 80 miles per hour. It... (answered by ankor@dixie-net.com)
A plane climbs into the jet stream which is flowing at a rate of 80 miles per hour. It... (answered by richwmiller)
Two Air Force planes, one a jet and the other propeller-driven plane, left an air base at (answered by ankor@dixie-net.com)
The rate of a jet stream is 300 milers per hour. Traveling with the jet stream, an... (answered by josgarithmetic)
If the relationship between Mach speed (M) and airspeed (A) is M = A/740, then how fast... (answered by ankor@dixie-net.com)