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Pierre competes in a triathlon, along a course as shown in the figure below.
He begins swimming at starting point S and swims straight across the lake,
gets on his bicycle at station A , bikes to station B, and then runs to finishing
line F. The judges use a stopwatch to record his elapsed times of t A, tb,
and t F, respectively. If the distance, in miles, between points S and A along
the racecourse is denoted by SA, then what is Pierre's average speed for this
F
lake
B


Sagot :

Considering the description above, Pierre's average speed for this race, in miles per hour, is measured as:

Given that Pierre's average speed is calculated in miles per hour;

Then, we divide his total mileage by his total time;

Therefore, the total number of miles Pierre covered is the distance from starting point S to finish line F;

=> This is depicted as "SF." (Total mileage);

Again, the total elapsed time from point S to point F is depicted as "t.F." (Total Time).

Hence, in this case, Pierre's average speed for this race, in miles per hour, is SF ÷ t.F. [Total mileage ÷ Total time]

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