Question 520014
Let {{{ d }}} = distance from base
Let {{{ t }}} = time of flight from base
given:
{{{ v[1] = 480 }}} km/hr
{{{ v[2] = 400 }}} km/hr
{{{ t[2] = t + .25 }}} hrs
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Flying away from base:
(1) {{{ d = 480t }}}
Flying back to base:
(2) {{{ d = 400*( t + .25 ) }}}
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(2) {{{ d = 400t + 100 }}}
Substitute (1) into (2)
(2) {{{ 480t = 400t + 100 }}}
(2) {{{ 80t = 100 }}}
(2) {{{ t = 1.25 }}}
and, since
(1) {{{ d = 480t }}}
(1) {{{ d = 480*1.25 }}}
(1) {{{ d = 600 }}}
It flew 600 km from its base