Question 1101341
Let {{{ d }}} = distance in miles traveled by bus
{{{ 17 - d }}} = distance in miles he walks
Let {{{ t }}} = time in hrs spent on bus
{{{ 3 - t }}} = time in hrs spent walking
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Equation for riding on bus:
(1) {{{ d = 40t }}}
Equation for walking:
(2) {{{ 17 - d = 3*( 3 - t ) }}}
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(2) {{{ 17 - d = 9 - 3t }}}
(2) {{{ d = 3t + 8 }}}
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Set (1) = (2)
{{{ 40t = 3t + 8 }}}
{{{ 37t = 8 }}}
{{{ t = .2161 }}}
and
{{{ .2162*60 = 12.973 }}}
{{{ .973*60 = 58.4 }}}
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{{{ 3 - t = 3 - .2161 }}}
{{{ 3 - t = 2.7839 }}}
{{{ .7839*60 = 47.0 }}}
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He spent 12 min 58 sec on bus
He spent 2 hrs 47 min walking
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check:
{{{ d = 40t }}}
{{{ d = 40*.2161 }}}
{{{ d = 8.644 }}} mi
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{{{ 17 - d = 3*( 3 - t ) }}}
{{{ 17 - d = 3*2.7839 }}}
{{{ 17 - d = 8.3517 }}}
{{{ d = 17 - 8.3517 }}}
{{{ d = 8.648 }}}
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I think the error of {{{ .004 }}} is due to
rounding off. check the math.