Question 1044434
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A train travels the  distance between the station A and B in 45 minutes. 
If the train reduces its speed by 5 km per hour it takes 48 minutes to cover this distance, 
what is the distance between the two stations?
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<pre>
45 minutes = {{{3/4}}} of an hour.

48 minutes = {{{4/5}}} of an hour.

Let "u" be the speed of the train in the first scenario. in {{{km/h}}}.
Then the speed in the second scenario is (u-5) {{{km/h}}}.

Then you have this equation

{{{(4/5)*(u-5)}}} = {{{(3/4)*u}}},

which says that the distance is the same.

Simplify it:

{{{(4/5)*u - 4}}} = {{{(3/4)*u}}},

{{{(4/5 - 3/4)*u}}} = 4,

{{{(16/20 - 15/20)*u}}} = 4,

{{{(1/20)*u}}} = 4,

u = 80.

Thus the train speed is 80 km/h. 
Hence, the distance is {{{(3/4)*80}}} = 60 km.

<U>Answer</U>. The distance is 60 km.
</pre>