In a 300 m race A beats B by 22.5 m or 6 seconds. B's time over the course is:86 sec
Question
In a 300 m race A beats B by 22.5 m or 6 seconds. B's time over the course is: 86 sec
Solution
Given that A beats B by 22.5 m or 6 seconds in a 300 m race, we can use this information to find out the speed of A and then use that to calculate B's time over the course.
Step 1: Calculate A's speed A runs 300 m in the time B runs 300 m - 22.5 m = 277.5 m. Given that A beats B by 6 seconds, A's time to run 300 m is 6 seconds less than B's time. So, A's time to run 300 m is 86 sec - 6 sec = 80 sec. Therefore, A's speed = Distance/Time = 300 m / 80 sec = 3.75 m/sec.
Step 2: Calculate B's speed Since A and B are running the same course, B's speed is also 3.75 m/sec.
Step 3: Calculate B's time Time = Distance/Speed So, B's time = 300 m / 3.75 m/sec = 80 sec.
Therefore, B's time over the course is 80 seconds.
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