Question 1044434

A train travels the  distance between the station A and B in 45 minutes. if the train reduces its speed by 5km per hour it takes 48 minutes to cover this distance. what is the distance between the two stations?
<pre>Let the distance be D
Then speed of train = {{{matrix(1,5, D/(45/60), or, D/(3/4), or, 4D/3)}}}
Reduced speed = {{{matrix(1,5, D/(48/60), or, D/(4/5), or, 5D/4)}}}
We then get the following SPEED equation: {{{4D/3 - 5 = 5D/4}}}
16D - 60 = 15D ------- Multiplying by LCD, 12
16D - 15D = 60
D, or distance = {{{highlight_green(matrix(1,2, 60, km))}}}