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2026
X travels 6 km on a bicycle with average speeds of 5 km per hour, 10 km per hour and 4 km per hour during the first 1 km, the next 2 km and the remaining 3 km, respectively. Y travels the same distances with average speeds of 4 km per hour, 10 km per hour and 5 km per hour, respectively. How many minutes early will Y complete the journey if both X and Y start at the same time?
Explanation
To find the time taken by X and Y, calculate the time for each segment of the journey: X takes 0.2 hours for the first 1 km, 0.2 hours for the next 2 km, and 0.75 hours for the last 3 km, totaling 1.15 hours. Y takes 0.25 hours for the first 1 km, 0.2 hours for the next 2 km, and 0.6 hours for the last 3 km, totaling 1.05 hours. The difference in time is 1.15 - 1.05 = 0.1 hours, which is 6 minutes, hence Y finishes 6 minutes earlier.
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