A person covers a distance of 120 km at 30 km/h and another 180 km at 45 km/h. Find his average speed for the whole journey. MCQ with Answer and Explanation
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Question #1
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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.
Correct Answer: Option B
Explanation:
Total distance = 10 + 12 = 22 km. Total time taken = 10/12 + 12/10 = 5/6 + 6/5 = (25 + 36) / 30 = 61 / 30 hours. Average speed = 22 / (61/30) = 660 / 61 = 10.82 hours (approx 10.83 km/h).
Total distance = 10 + 12 = 22 km. Total time taken = 10/12 + 12/10 = 5/6 + 6/5 = (25 + 36) / 30 = 61 / 30 hours. Average speed = 22 / (61/30) = 660 / 61 = 10.82 hours (approx 10.83 km/h).
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Maths
Time Speed and Distance
Question #2
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A sound wave takes 4 seconds to travel a distance between two structures. If the speed of sound is 340 m/s, what is the distance between the structures in kilometers?
Correct Answer: Option D
Explanation:
Distance = Speed * Time = 340 * 4 = 1360 meters. Converting to kilometers = 1360 / 1000 = 1.36 km.
Distance = Speed * Time = 340 * 4 = 1360 meters. Converting to kilometers = 1360 / 1000 = 1.36 km.
This question belongs to:
Maths
Time Speed and Distance
Question #3
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A train passes a static observer in 6 seconds and a platform 160 meters long in 14 seconds. Find the length of the train.
Correct Answer: Option A
Explanation:
Time to cross the platform distance alone = 14 - 6 = 8 seconds. Speed of train = 160 / 8 = 20 m/s. Length of train = Speed * Time to pass observer = 20 * 6 = 120 meters.
Time to cross the platform distance alone = 14 - 6 = 8 seconds. Speed of train = 160 / 8 = 20 m/s. Length of train = Speed * Time to pass observer = 20 * 6 = 120 meters.
This question belongs to:
Maths
Time Speed and Distance
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