SOLUTION: Normally it take 3 hours for a train ti run from A to B one day due to a minor trouble the train reduce the speed by 12 km/hr si it took 3/4th of an hours more than the usual.what

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Question 996713: Normally it take 3 hours for a train ti run from A to B one day due to a minor trouble the train reduce the speed by 12 km/hr si it took 3/4th of an hours more than the usual.what is the distance fron A to B.
Answer by josgarithmetic(39614) About Me  (Show Source):
You can put this solution on YOUR website!
             speed        time        distance
NORMAL        r            3            d
TROUBLE       r-12         3+3/4        d


Normal situation gives r=d%2F3.

%28r-12%29%283%263%2F4%29=d
%28d%2F3-12%29%2815%2F4%29=d
12%28d%2F3-12%29%2815%2F4%29=12d
3%28%28d%2F3%29-12%29%2A4%2815%2F4%29=12d, split the factor 12 into the two smaller factors;
%28d-36%29%2A15=12d
15d-36%2A15=12d
3d-36%2A15=0
3d=3%2A12%2A15
d=12%2A15
highlight%28d=180%29