Distance from Town X to Town Y = 100 miles
Distance = Speed x Time
Speed while going = 50 mph , Speed while returning = 40 mph
Let the time taken while going = t hours
So, the time taken while returning = t + 0.5 hours
So, 50 t = 40 ( t + 0.5)
50 t = 40x + 20
50 t - 40 t = 10x = 20
10 t = 20
t = 20 / 10 = 2
Hence, distance = 50 t = 40 ( t + 0.5 )
= 50 x 2 ; or 40 x 2.5 = 100
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