High School

A zebra is running at 80 km/h in front of a lion that is moving at 100 km/h. If the zebra is 16 km ahead of the lion, how long (in minutes) does it take for the lion to catch the zebra if their velocities remain unchanged?

a) 48 minutes
b) 80 minutes
c) 96 minutes
d) 120 minutes

Answer :

Final answer:

The lion will take 48 minutes to catch the zebra, as it is moving at a relative speed of 20 km/h and the zebra is 16 km ahead. Therefore the correct answer is a.

Explanation:

To solve this, we need to calculate the relative velocity of the lion with respect to the zebra. The lion's relative velocity is the difference between its velocity and the zebra's, which is 100 km/h - 80 km/h = 20 km/h. Now we find the time it takes for the lion to cover the 16 km distance at this relative velocity. Time = Distance / Speed, so it takes Time = 16 km / 20 km/h = 0.8 hours. Converting hours to minutes (since 1 hour = 60 minutes), we have 0.8 hours * 60 minutes/hour = 48 minutes.

Time calculation involves determining durations, intervals, or the passage of time between two points or events. It is fundamental in various contexts, including mathematics, physics, engineering, scheduling, and everyday life. Time can be measured using various units, including seconds, minutes, hours, days, weeks, months, and years. Each unit represents a different scale of time, with smaller units corresponding to shorter durations and larger units representing longer durations.

Effective time management involves prioritizing tasks, allocating time for different activities, setting deadlines, and monitoring progress. Time management skills are essential for productivity, efficiency, and achieving goals in both personal and professional settings. In summary, time calculation is an essential aspect of daily life and various fields of study. Understanding how to measure, manipulate, and manage time is crucial for effective planning, scheduling, and decision-making.