Question
Two cars start from a place with a speed of 60 km/hr at
an interval of 15 minutes. What is the speed of a man coming from the opposite direction towards the place if he meets the cars at an interval of 12 minutes?Solution
Distance covered in 15 minutes at 60 km/hr = 60 x (15/60) Distance covered in 12 minutes at (60 + x) km/hr = (12/60) x (60 + x) Now, Distance covered in 15 minutes at 60 km/hr = Distance covered in 12 minutes at (60 + x) km/hr ⇒ 60 x (15/60) = (12/60) x (60 + x) ⇒ 60 x 15 = 720 + 12x ⇒ 900 = 720 + 12x ⇒ 12x = 900 - 720 = 180 ⇒ x = 15 km/hr
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