Question
Two cars start from a place with a speed of 70 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 14 minutes?Solution
Distance covered in 15 minutes at 70 km/hr = 70 x (15/60) Distance covered in 14 minutes at (70 + x) km/hr = (14/60) x (70 + x) Now, Distance covered in 15 minutes at 70 km/hr = Distance covered in 14 minutes at (70 + x) km/hr ⇒ 70 x (15/60) = (14/60) x (70 + x) ⇒ 70 x 15 = 980 + 14x ⇒ 1050 = 980 + 14x ⇒ 14x = 1050 - 980 = 70 ⇒ x = 5 km/hr
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