<PRE><B>Question 785372</B>
let her travel by bus x miles
bus rate = 50 mph

she travels by train 860-x miles
Train rate = 105 mph

Time by train + time by bus = 9.5

t=d/r

{{{(860-x)/105 +(x/50) =9.5}}}

lcm of 50 &amp;105 is 5250

multiply equation by 5250

50(860-x)+105x=5250 *9.5

43000-50x+105x=5250*9.5

55x=(5250*9.5)-43000

x= 125 miles by bus

860-125=735 miles by train

time on train = 735/105 = 7 hours





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