Question 711745
Let {{{ d }}} = the distance in miles that the truck travels
when they are {{{ 46 }}} miles apart
{{{ 46 - d }}} = the distance in miles that the van travels
when they are {{{ 46 }}} miles apart
Let {{{ t }}} = the time in hrs for them to be {{{ 46 }}} mi apart
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Truck's equation:
(1) {{{ d = 52t }}}
Van's equation:
(2) {{{ 46 - d = 63t }}}
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Substitute (1) into (2)
(2) {{{ 46 - 52t = 63t }}}
(2) {{{ 52t + 63t = 46 }}}
(2) {{{ 115t = 46 }}}
(2) {{{ t = .4 }}} hrs
(2) {{{ t = .4*60 }}} min
(2) {{{ t = 24 }}} min
They will be 46 mi apart in 24 min