<PRE><B>Question 897070</B>
Let {{{ t }}} = time in hrs to get from home to school
Let {{{ d }}} = distance from home to school
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Home to school equation:
(1) {{{ d = 32t }}}
School to home equation:
(2) {{{ d = 48*( 1.25 - t ) }}}
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Substitute (1) into (2)
(2) {{{ 32t = 60 - 48t }}}
(2) {{{ 80t = 60 }}}
(2) {{{ t = 3/4 }}}
and
(1) {{{ d = 32t }}}
(1) {{{ d = 32*(3/4) }}}
(1) {{{ d = 24 }}}
The distance between his home and school is
24 miles
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check:
(2) {{{ d = 48*( 1.25 - t ) }}}
(2) {{{ 24 = 48*( 1.25 - .75 ) }}}
(2) {{{ 24 = 48*( 1/2 ) }}}
(2) {{{ 24 = 24 }}}
OK
</PRE>