Question 626317
Let {{{ s }}} = the speed of the motorcycle in mi/hr
{{{ s + 10 }}} = the speed of the car in mi/hr
{{{ t }}} = the time for both
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Equation for motorcycle:
(1) {{{ 325 = s*t }}}
Equation for car:
{{{ 375 = ( s + 10 )*t }}}
(2) {{{ 375 = s*t + 10t }}}
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Substitute (1) into (2)
(2) {{{ 375 = 325 + 10t }}}
(2) {{{ 10t = 50 }}}
(2) {{{ t = 5 }}} hrs
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(1) {{{ 325 = s*5 }}}
)1) {{{ s = 325/5 }}}
(1) {{{ s = 65 }}}
{{{ s + 10 = 75 }}}
The speed of the motorcycle is 65 mi/hr
The speed of the car is 75 mi/hr
check:
{{{ 375 = ( s + 10 )*t }}}
{{{ 375 = ( 65 + 10 )*5 }}}
{{{ 375 = 75*5 }}}
{{{ 375 = 375 }}}
OK