Question 1098919
What is the jet bomber's head start in miles:
{{{ d[1] = 500*( 1/2 ) }}}
{{{ d[1] = 250 }}} mi
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Start a stopwatch when the fighter jet leaves
Let {{{ t }}} = time in hrs on stopwatch when
the fighter jet catches the jet bomber
Let {{{ d }}} = distance in miles the fighter
jet travels until it catches up with jet bomber
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Equation for jet bomber:
(1) {{{ d - d[1] = 500t }}}
Equation for fighter jet:
(2) {{{ d = 600t }}}
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(1) {{{ d - 250 = 500t }}}
(1) {{{ d = 500t + 250 }}}
Plug (2) into (1)
(1) {{{ 600t = 500t + 250 }}}
(1) {{{ 100t = 250 }}}
(1) {{{ t = 2.5 }}}
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The jet bomber travels for {{{ .5 + 2.5 = 3 }}} hrs
before it reaches the target
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check:
(2) {{{ d = 600t }}}
(2) {{{ d = 600*2.5 }}}
(2) {{{ d = 1500 }}} mi
and
(1) {{{ d - 250 = 500t }}}
(1) {{{ d - 250 = 500*2.5 }}}
(1) {{{ d = 1250 + 250 }}}
(1) {{{ d = 1500 }}} mi
OK