Question 679613
{{{ 15 }}} min = {{{ 1/4 }}} hr
Brooke has a head start of {{{ d[1] = 35*( 1/4 ) }}}
{{{ d[1] = 8.75 }}}
Let {{{ d }}} = the distance Bart drives to catch Brooke
Let {{{ t }}} = the elapsed time from 7:15 until
Bart catches Brooke
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Brooke's equation:
(1) {{{ d - 8.75 = 35t }}}
Bart's equation:
(2) {{{ d = 50t }}}
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Substitute (2) into (1)
(1) {{{ 50t - 8.75 = 35t }}}
(1) {{{ 15t = 8.75 }}}
(1) {{{ t = 8.75 / 15 }}}
(1) {{{ t = .58333 }}} hrs
(1) {{{ t = .58333 * 60 }}} min
(1) {{{ t = 35 }}} min
Bart catches Brooke at 7:15 + 35 = 7:50 AM