Question 833843
Say the Piper Saratoga =PS
Say the Piper 6X =6X
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How far does PS fly in 1 hr?
{{{ d[PS] = 150*1 }}}
{{{ d[PS] = 150 }}} mi
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The distance between them is now
{{{ 310 - 150 = 160 }}} mi
Let {{{ d }}} = the distance PS travels 
until they pass each other
{{{ 160 - d }}} = distance 6X travels until they  
pass each other
Let {{{ t }}} = the time in hours from when
6X leaves Pittsburg until the pass each other
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PS equation:
(1) {{{ d = 150t }}}
6X equation:
(2) {{{ 160 - d = 120t }}}
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Substitute (1) into (2)
(2) {{{ 160 - 150t = 120t }}}
(2) {{{ 270t = 160 }}}
(2) {{{ t = .5926 }}} hrs
{{{ .5926*60 = 35.555 }}}
{{{ .555*60 = 33.333 }}}
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In minutes, {{{ t }}} = 35 min 33 sec
This is the time after 1 PM, so the time 
on a passenger's watch when they pass is
1:35:33 PM
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Check answer:
(1) {{{ d = 150t }}}
(1) {{{ d = 150*.5926 }}}
(1) {{{ d = 88.889 }}}
and
(2) {{{ 160 - d = 120t }}}
(2) {{{ 160 - d = 120*.5926 }}}
(2) {{{ d = 160 - 71.111 }}}
(2) {{{ d = 88.889 }}}
OK