Question 525510
Let {{{d}}} = distance to her friends
Let {{{t}}} = time it took to get home in car
given:
{{{ 10 }}} mi/hr = speed on bike
{{{ 25 }}} mi/hr = speed in car
{{{ t + 1.5 }}} hrs = time to ride bike to friends
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Riding bike:
(1) {{{ d = 10*( t + 1.5 ) }}}
Riding in car:
(2) {{{ d = 25t }}}
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substitute (2) into (1)
(1) {{{ 25t = 10t + 15 }}}
(1) {{{ 15t = 15 }}}
(1) {{{ t = 1 }}} hr
and
(2) {{{ d = 25*1 }}}
(2) {{{ d = 25 }}}
She traveled a total of {{{2d}}}, or 50 miles