A driver covers 30% of his total route at 30 km/h and the remaining 70% at 42 km/h. What is his average speed for the full trip? MCQ with Answer and Explanation
A driver covers 30% of his total route at 30 km/h and the remaining 70% at 42 km/h. What is his average speed for the full trip?
A. 37.5 km/h
B. 36 km/h
C. 40 km/h
D. 38 km/h
Answer: Option A
Solution (By JKExamLibrary)
Let total distance be 100 km. First section = 30 km; Time = 30 / 30 = 1 hour. Second section = 70 km; Time = 70 / 42 = 5/3 hours. Total time = 1 + 5/3 = 8/3 hours. Average speed = 100 / (8/3) = 300 / 8 = 37.5 km/h.
A train passes a standing person on a platform in 8 seconds and crosses the platform itself, which is 240 meters long, in 20 seconds. Find the length of the train.
Explanation:
Time taken to cross the platform distance alone = 20 - 8 = 12 seconds. Speed of the train = 240 / 12 = 20 m/s. Length of the train = Speed * Time to pass the person = 20 * 8 = 160 meters.
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