Question 1055077
What is the head start of the small plane in miles?
{{{ d[1] = 270*1.75 }}}
{{{ d[1] = 472.5 }}} mi
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Start a stopwatch when the 747 leaves. Let {{{ t }}} =
the time in hrs on the stopwatch when both planes
arrive at the destination.
Let {{{ s }}} = the average speed of the 747 in mi/hr
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Equation for the small plane:
(1) {{{ 945 - 472.5 = 270t }}}
Equation for the 747:
(2) {{{ 945 = s*t }}}
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(1) {{{ 270t = 472.5 }}}
(1) {{{ t = 1.75 }}}
Plug this value into (2)
(2) {{{ 945 = s*1.75 }}}
(2) {{{ s = 540 }}}
The average speed of the 747 was 540 mi/hr