Question 1099950
Find Janet's head start in miles
{{{ d[1] = 22*2 }}}
{{{ d[1] = 44 }}} mi
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Start a stopwatch when Bob leaves at 8:00
Let {{{ t }}} = time in hrs on the stopwatch
when Bob catches up with Janet
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Let {{{ d }}} = distance in miles that Bob travels
until he catches up with Janet
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Janet's equation:
(1) {{{ d - d[1] = 22t }}}
(1) {{{ d - 44 = 22t }}}
Bob's equation:
(2) {{{ d = 50t }}}
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Plug (2) into (1)
(1) {{{ 50t - 44 = 22t }}}
(1) {{{ 28t = 44 }}}
(1) {{{ t = 1.5714 }}}
and
{{{ .5714*60 = 34.2857 }}}
{{{ .2857*60 = 17 }}}
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{{{ 8 + 1 = 9 }}}
Bob catches up at 9:34:17
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check:
(1) {{{ d - 44 = 22t }}}
(1) {{{ d = 22*1.5714 + 44 }}}
(1) {{{ d = 34.5708 + 44 }}}
(1) {{{ d = 78.5708 }}}
and
(2) {{{ d = 50t }}}
(2) {{{ d = 50*1.5714 }}}
(2) {{{ d = 78.57 }}}
Close enough
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Get a 2nd opinion if needed