A cyclist travels at a speed of 12 km/h for the first 10 km and at a speed of 10 km/h for the next 12 km. Find his average speed for the entire trip. MCQ with Answer and Explanation
Two cars start from the same spot and travel along perpendicular roads. One travels at 30 km/h and the other at 40 km/h. Find the distance between them after 1 hour.
Explanation:
In 1 hour, the first car travels 30 km and the second car travels 40 km. Direct distance = sqrt(30^2 + 40^2) = sqrt(900 + 1600) = sqrt(2500) = 50 km.
Two stations A and B are 450 km apart. A train leaves station A at 4:00 PM at 60 km/h. Another train leaves station B at 5:00 PM at 70 km/h traveling towards A. At what time will they meet?
Explanation:
By 5:00 PM, the first train has traveled for 1 hour and covered 60 km. Distance left between them = 450 - 60 = 390 km. Relative speed = 60 + 70 = 130 km/h. Time to meet after 5:00 PM = 390 / 130 = 3 hours. Meeting time = 5:00 PM + 3 hours = 8:00 PM.
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