Ralph jogs from his home to the stadium at 10 kmh His trip h

Ralph jogs from his home to the stadium at 10 km/h. His trip home takes exactly one hour less because he takes a car traveling at 60 km/h. How far is it from Ralph\'s home to the stadium?

Solution

Let time taken by Ralph to jog from his house to stadium be = x hrs
His speed is = 10km/hr
Distance covered by Ralph in x hrs is = 10x kms
Time taken by him to return by car with a speed of 60 km/hr is = x-1 hr
Distance covered by car in (x-1) hr = 60(x-1)
since onward and downward distance are same , 60(x-1) = 10x
60x - 60 = 10x
60x-10x = 60
50x = 60
x = 60/50 = 6/5
distance between Ralph\'s house and stadium is 10*6/5 = 10.6/5
= 2*6 = 12 kms