Question
Two cars start from a place with a speed of 20 km/hr at
an interval of 8 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 5 minutes?Solution
Distance covered in 8 minutes at 20 km/hr = 20 x (8/60) Distance covered in 5 minutes at (20 + x) km/hr = (5/60) x (20 + x) Now, Distance covered in 8 minutes at 20 km/hr = Distance covered in 5 minutes at (20 + x) km/hr ⇒ 20 x (8/60) = (5/60) x (20 + x) ⇒ 20 x 8 = 100 + 5x ⇒ 160 = 100 + 5x ⇒ 5x = 160 - 100 = 60 ⇒ x = 12 km/hr
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