Question 1069758
Let {{{ d[1] }}} = distance in miles the S to J car travels
Let {{{ d[2] }}} = distance in miles the J to S car travels
Let {{{ t }}} = time in hrs for cars to pass eachother
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(1) {{{ d[1] + d[2] = 136 }}} mi
(2) {{{ d[1] = 55t }}} mi
(3) {{{ d[2] = 70t }}} mi
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Substitute (2) and (3) into (1)
(1) {{{ 55t + 70t = 136 }}}
(1) {{{ 125t = 136 }}}
(1) {{{ t = 1.088 }}} hrs
{{{ .088*60 = 5.28 }}} min
It takes about 1 hr and 5 min for them to pass each other
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(1) {{{ d[1] = 55*1.088 }}}
(1) {{{ d[1] = 59.84 }}} mi
and
(2) {{{ d[2] = 70*1.088 }}}
(2) {{{ d[2] = 76.16 }}} mi
59.84 = distance in miles the S to J car travels
76.16 = distance in miles the J to S car travels
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check:
{{{ d[1] + d[2] = 136 }}}
{{{ 59.84 + 76.16 = 136 }}}
{{{ 136 = 136 }}}
OK