A person leaves point A at 5:00 AM at 30 km/h. Another leaves A at 7:00 AM at 40 km/h in the same direction. At what distance from A will they meet? MCQ with Answer and Explanation
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Question #1
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Two distinct points A and B are 100 km apart on a highway. One car starts from A and another from B at the same time. If the cars travel in the same direction at constant speeds, they meet in 5 hours. If they travel towards each other, they meet in 1 hour. What is the speed of the faster car?
Correct Answer: Option B
Explanation:
Let speeds be x and y (x > y). Same direction relative speed = x - y = 100 / 5 = 20 km/h. Opposite direction relative speed = x + y = 100 / 1 = 100 km/h. Adding equations: 2x = 120 => x = 60 km/h.
Let speeds be x and y (x > y). Same direction relative speed = x - y = 100 / 5 = 20 km/h. Opposite direction relative speed = x + y = 100 / 1 = 100 km/h. Adding equations: 2x = 120 => x = 60 km/h.
This question belongs to:
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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Excluding institutional stops, the speed of an intercity coach is 72 km/h and including stops it is 60 km/h. For how many minutes does the coach stop per hour?
Correct Answer: Option C
Explanation:
Stoppage time per hour = (72 - 60) / 72 = 12 / 72 = 1/6 hour. In minutes = (1/6) * 60 = 10 minutes.
Stoppage time per hour = (72 - 60) / 72 = 12 / 72 = 1/6 hour. In minutes = (1/6) * 60 = 10 minutes.
This question belongs to:
Maths
Time Speed and Distance
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