A student walkks from his house at 5 km/hour and reaches his school 10 minutes late. If his speed had been 6 km/hour, he would have reached 15 minutes early. The distance of his school from his house is
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to find the kilometres and the distance from school to home
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speed = distance/time
speed is inversely proportional to time
ratio of speeds = 5:6
ratio of time = 6:5
time taken @5kmph = 6x
distance = 5×6x
time taken @6kmph =5x
difference in times = 6x-5x=x
difference in times given is 10 min late and 15 min early = 10+15 =25 min
x=25 min
6x = 25×6=150 mins/60 = 5/2 hrs
distance =5×5/2 = 12.5 kms
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