A shoplifter sprints from a mall sector at 6:00 PM at 12 km/h. The security detail discovers the lapse and pursues at 6:30 PM at 16 km/h. At what time will the detail intercept the shoplifter? MCQ with Answer and Explanation
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Question #1
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A car travels a distance of 240 km at a certain speed. If the speed is increased by 10 km/h, it takes 4 hours for the journey. Find the original speed.
Correct Answer: Option A
Explanation:
New speed = 240 / 4 = 60 km/h. Since new speed is original speed + 10 km/h, the original speed = 60 - 10 = 50 km/h.
New speed = 240 / 4 = 60 km/h. Since new speed is original speed + 10 km/h, the original speed = 60 - 10 = 50 km/h.
This question belongs to:
Maths
Time Speed and Distance
Question #2
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A train covers a distance of 360 km at a uniform speed. If the speed had been 10 km/h more, it would have taken 3 hours less for the same journey. What is the original speed of the train?
Correct Answer: Option A
Explanation:
Let original speed be s. 360/s - 360/(s+10) = 3. Dividing by 3: 120/s - 120/(s+10) = 1. 120(s + 10 - s) = s(s + 10) => 1200 = s(s + 10). Solving s^2 + 10s - 1200 = 0 gives (s-30)(s+40) = 0. Since speed is positive, s = 30 km/h.
Let original speed be s. 360/s - 360/(s+10) = 3. Dividing by 3: 120/s - 120/(s+10) = 1. 120(s + 10 - s) = s(s + 10) => 1200 = s(s + 10). Solving s^2 + 10s - 1200 = 0 gives (s-30)(s+40) = 0. Since speed is positive, s = 30 km/h.
This question belongs to:
Maths
Time Speed and Distance
Question #3
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A sound wave covers a distance of 1.7 km in 5 seconds. What is the speed of sound in m/s?
Correct Answer: Option D
Explanation:
Distance = 1.7 km = 1700 meters. Speed = Distance / Time = 1700 / 5 = 340 m/s.
Distance = 1.7 km = 1700 meters. Speed = Distance / Time = 1700 / 5 = 340 m/s.
This question belongs to:
Maths
Time Speed and Distance
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