Question

Fen completed a triathlon race whose total distance is DDD kilometers. First, she swam a distance of 0.50.50, point, 5 kilometer. Then, she rode a bicycle for xxx hours at an average speed of 202020 kilometers per hour. Finally, she ran for 0.50.50, point, 5 hour at an average speed of vvv kilometers per hour. Write an equation that relates DDD, xxx, and vvv.

Answer 1

D = 0.5 + 20x + 0.5v

Explanation:

Initial distance covered d1 = 0.5km

If she rode a bicycle for x hours at an average speed of 20 kilometers per hour, then her distance during thus period is,;

Speed = Distance/Time

Distance d2 = speed × time

d2 = 20x

If she ran for 0.5 hour at an average speed of v kilometers per hour, her distance this time will be;

Distance d3 = 0.5v

If her total distance is D, then;

D = d1+d2+d3

D = 0.5 + 20x + 0.5v

Hence an equation that relates D, x, and v is D = 0.5 + 20x + 0.5v