Question

Two cars start from a place with a speed of 65 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 13 minutes?

A 20 km/hr Correct Answer Incorrect Answer
B 15 km/hr Correct Answer Incorrect Answer
C 10 km/hr Correct Answer Incorrect Answer
D 5 km/hr Correct Answer Incorrect Answer
E 25 km/hr Correct Answer Incorrect Answer

Solution

Distance covered in 15 minutes at 65 km/hr =65 x (15/60) Distance covered in 13 minutes at (65 + x) km/hr = (13/60) x (65 + x) Now, Distance covered in 15 minutes at 65 km/hr = Distance covered in 13 minutes at (65 + x) km/hr ⇒ 65 x (15/60) = (13/60) x (65 + x) ⇒ 65 x 15 = 845 + 13x ⇒ 975 = 845 + 13x ⇒ 13x = 975 - 845 = 130 ⇒ x = 10 km/hr

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