Question 1031906
Let {{{ d }}} = the distance in km the plane
can fly from its base
Let {{{ t }}} = the time of travel for
the trip from the base
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Traveling from the base:
(1) {{{ d = 600t }}}
Traveling back to base
(2) {{{ d = 400*( 3 - t ) }}}
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Set (1) = (2)
{{{ 600t = 400*( 3 - t ) }}}
{{{ 600t = 1200 - 400t }}}
{{{ 1000t = 1200 }}}
{{{ t = 1.2 }}}
and
(1) {{{ d = 600t }}}
(1) {{{ d = 600*1.2 }}}
(1) {{{ d = 720 }}}
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The plane can fly as far as 720 km
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check:
(2) {{{ d = 400*( 3 - t ) }}}
(2) {{{ d = 400*( 3 - 1.2 ) }}}
(2) {{{ d = 400*1.8 }}}
(2) {{{ d = 720 }}}
OK