A boy goes to a playground from the house at 5 km/hr by 10 minute late. If he goes at 6 km/hr. he would be 5 minutes early. What is the distance of the of playground from his house ?

7.5 km

8 km

10 km

12 km

Solution: Let the distance be x km. Difference in timings = 15 min = 15/60 hr = 1/4 hr. .'. x/5 - x/6 = 1/4 => 6x-5x = 30/4 => x = 7.5 km.

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