# Question - Find average Speed of Runner? A) 12.8 km/h B) 6 km/h C) 8.8 km/h D) 10.2 km/h E) 6.6 km/h?

Asked by Arshad Iqbal 7 months ago

Investment Professional at TPG Capital; Co-Founder & Co-President at Headway Circuit

To find the average speed for the entire race, we need to use the formula:Â

average speed = total distance / total timeÂ

We know the total distance is 10 km, but we need to find the total time. To do that, we can use the formula:Â

time = distance / speedÂ

We can find the time taken for each segment of the race by using the given information. The time taken for the first 4 km is:Â

time = 4 / 12 time = 0.333 hoursÂ

The time taken for the next 2 km is:Â

time = 2 / (12 * 1.5) time = 2 / 18 time = 0.111 hoursÂ

The time taken for the last 4 km is:Â

time = 4 / 12 time = 0.333 hoursÂ

Therefore, the total time is:Â

total time = 0.333 + 0.111 + 0.333 total time = 0.777 hoursÂ

Now we can plug in these values into the average speed formula and simplify:Â

average speed = 10 / 0.777 average speed = 12.871 km/hÂ

Therefore, the average speed for the entire race is 12.871 km/h

Correct Option is A.

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