A person sets off from location M at 6:00 AM tracking at 30 km/h. Another starts from M at 8:00 AM at 50 km/h along the same direction pathway. At what distance from M do they meet? MCQ with Answer and Explanation
A person sets off from location M at 6:00 AM tracking at 30 km/h. Another starts from M at 8:00 AM at 50 km/h along the same direction pathway. At what distance from M do they meet?
A. 170 km
B. 150 km
C. 140 km
D. 160 km
Answer: Option B
Solution (By JKSSB Mock Tests)
By 8:00 AM, the first person tracks for 2 hours, covering 30 * 2 = 60 km. Relative tracking speed = 50 - 30 = 20 km/h. Time taken to meet = 60 / 20 = 3 hours. Distance covered from point M = Speed of second traveler * Meeting Time = 50 * 3 = 150 km.
The speed of a train is 20% more than the speed of a car. Both start from city P at the same time and reach city Q, 120 km away, at the same time. On the way, the train stops for 10 minutes at various stations. What is the speed of the car?
Explanation:
Time difference = 20 minutes = 20/60 = 1/3 hour. Let distance be d. d / 50 - d / 75 = 1/3 => (3d - 2d) / 150 = 1/3 => d / 150 = 1/3 => d = 50 km.
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