A person travels a distance of 24 km at a speed of 6 km/h, another 24 km at 8 km/h and a third 24 km at 12 km/h. Find his average speed for the whole journey. MCQ with Answer and Explanation
A person travels a distance of 24 km at a speed of 6 km/h, another 24 km at 8 km/h and a third 24 km at 12 km/h. Find his average speed for the whole journey.
A. 9 km/h
B. 8.5 km/h
C. 7.5 km/h
D. 8 km/h
Answer: Option D
Solution (By JKExamLibrary)
Total distance = 24 + 24 + 24 = 72 km. Total time = 24/6 + 24/8 + 24/12 = 4 + 3 + 2 = 9 hours. Average speed = 72 / 9 = 8 km/h.
If a delivery agent cycles at 15 km/h instead of 11 km/h, he travels 20 km more in the same allotted duration. Find the actual distance covered by him at his lower speed.
Explanation:
Let the time duration be t hours. Distance difference = 15t - 11t = 4t = 20 km => t = 5 hours. Distance covered at lower speed = 11 * 5 = 55 km.
A thief is spotted by a policeman from a distance of 250 meters. The thief runs at 11 km/h and the policeman chases him at 13 km/h. Find the distance covered by the thief before he is caught.
Explanation:
Relative speed = 13 - 11 = 2 km/h. Time to catch the thief = 0.25 km / 2 km/h = 0.125 hours. Distance covered by thief = Speed * Time = 11 km/h * 0.125 hours = 1.375 km = 1375 meters.
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