A worker handles a total factory delivery run of 160 km. He maps the first 60 km section at 30 km/h and the final 100 km segment section at 50 km/h. Find the mean average speed recorded across the full delivery run. MCQ with Answer and Explanation
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Question #1
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A man covers 40% of his journey at 40 km/h, 50% of the remaining at 30 km/h and the rest at 15 km/h. What is his average speed for the whole journey?
Correct Answer: Option D
Explanation:
Let total distance be 100 km. First part: 40 km at 40 km/h => time = 1 hour. Remaining distance = 60 km. Second part: 50% of 60 = 30 km at 30 km/h => time = 1 hour. Remaining distance = 30 km. Third part: 30 km at 15 km/h => time = 2 hours. Total time = 1 + 1 + 2 = 4 hours. Average speed = 100 / 4 = 25 km/h.
Let total distance be 100 km. First part: 40 km at 40 km/h => time = 1 hour. Remaining distance = 60 km. Second part: 50% of 60 = 30 km at 30 km/h => time = 1 hour. Remaining distance = 30 km. Third part: 30 km at 15 km/h => time = 2 hours. Total time = 1 + 1 + 2 = 4 hours. Average speed = 100 / 4 = 25 km/h.
This question belongs to:
Maths
Time Speed and Distance
Question #2
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In a 500-meter dash trial heat, runner A clocks across the tape in 50 seconds, while runner B marks a finish layout in 55 seconds. By what distance does runner A beat runner B?
Correct Answer: Option B
Explanation:
Speed of runner B = 500 / 55 = 100 / 11 m/s. Distance covered by runner B when runner A finishes at 50 seconds = (100 / 11) * 50 = 5000 / 11 = 454.54 meters. Margin distance = 500 - 454.54 = 45.45 meters.
Speed of runner B = 500 / 55 = 100 / 11 m/s. Distance covered by runner B when runner A finishes at 50 seconds = (100 / 11) * 50 = 5000 / 11 = 454.54 meters. Margin distance = 500 - 454.54 = 45.45 meters.
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Maths
Time Speed and Distance
Question #3
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A train 100 meters long completely passes a static pole in 5 seconds. Find its speed in km/h.
Correct Answer: Option C
Explanation:
Speed = 100 / 5 = 20 m/s. In km/h = 20 * (18/5) = 72 km/h.
Speed = 100 / 5 = 20 m/s. In km/h = 20 * (18/5) = 72 km/h.
This question belongs to:
Maths
Time Speed and Distance
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