In a 200-meter sprint, X beats Y by 20 meters and Y beats Z by 10 meters. By how many meters does X beat Z in the same race? MCQ with Answer and Explanation
In a 200-meter sprint, X beats Y by 20 meters and Y beats Z by 10 meters. By how many meters does X beat Z in the same race?
A. 28 meters
B. 32 meters
C. 30 meters
D. 29 meters
Answer: Option D
Solution (By JKExamLibrary)
When X covers 200m, Y covers 180m. When Y covers 200m, Z covers 190m. Thus, when Y covers 180m, Z covers 190 * (180 / 200) = 171m. Therefore, when X covers 200m, Z covers 171m. X beats Z by 200 - 171 = 29 meters.
A man leaves point A at 6 AM at a speed of 4 km/h. Another man leaves point A from the same direction at 8 AM at a speed of 6 km/h. At what distance from point A will they meet?
Explanation:
By 8 AM, the first man has traveled for 2 hours, covering 4 * 2 = 8 km. Relative speed = 6 - 4 = 2 km/h. Time taken to meet = 8 / 2 = 4 hours. Distance from A = Speed of second man * Time = 6 * 4 = 24 km.
A field clerk walking at 5 km/h handles a regular sector. If he steps up to run at 10 km/h, he takes 24 minutes less across the course stretch. Find the absolute distance profile.
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