Question 908412
Let {{{ s }}} = the speed of the slower truck
{{{ s + 5 }}} = the speed of the faster truck
Let {{{ d }}} = the distance traveled by the slower truck
{{{ 600 - d }}} = the distance traveled by the faster truck
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Equation for the slower truck:
(1) {{{ d = s*5 }}}
Equation for the faster truck:
(2) {{{ 600 - d = ( s + 5 )*5 }}}
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Substitute (1) into (2)
(2) {{{ 600 - 5s = ( s + 5 )*5 }}}
(2) {{{ 600 - 5s = 5s + 25 }}}
(2) {{{ 10s = 600 - 25 }}}
(2) {{{ 10s = 575 }}}
(2) {{{ s = 57.5 }}}
and
{{{ s + 5 = 62.5 }}}
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The speed of the slower truck is 57.5 mi/hr
The speed of the faster truck is 62.5 mi/hr
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check:
(1) {{{ d = s*5 }}}
(1) {{{ d = 57.5*5 }}}
(1) {{{ d = 287.5 }}}
and
(2) {{{ 600 - d = ( s + 5 )*5 }}}
(2) {{{ 600 - d = 62.5*5 }}}
(2) {{{ d = 600 - 312.5 }}}
(2) {{{ d = 287.5 }}}
OK