Question 957848
Let {{{ s }}} = the car's actual speed in mi/hr
Let {{{ t }}} = the car's time in both cases
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1st case:
(1) {{{ 96 = s*t }}}
2nd case:
(2) {{{ 120 = ( s + 12 )*t }}}
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(1) {{{ s = 96/t }}}
(2) {{{ 120 = s*t + 12t }}}
By substitution:
(2) {{{ 120 = ( 96/t )*t + 12t }}}
(2) {{{ 120 = 96 + 12t }}}
(2) {{{ 12t = 24 }}}
(2) {{{ t = 2 }}} hrs
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(1) {{{ s = 96/t }}}
(1) {{{ s = 48 }}}
The car's actual speed was 48 mi/hr