Two runners start the race at the same time. The first runner's speed is
[tex] \frac{4}{5} [/tex]
of the speed of the second runner. After 30 minutes, the runners are 2 miles apart. What is the speed of each runner?​

Respuesta :

The speed of the first runner is 1.78 mph while for the second runner is 2.22 mph

Speed

Speed is the ratio of total distance to total time taken. It is given by:

Speed = distance / time

Let a represent the speed of the first runner and b for the second runner. Hence:

a = (4/5)b

After 30 minutes (0.5 hour), the runners are 2 miles apart, hence:

a = d₁ / 0.5

d₁ = 0.5a

Also:

b = d₂/0.5

d₂ = 0.5b

d₁ + d₂ = 2, hence:

0.5a + 0.5b = 2

0.5(4/5)b + 0.5b = 2

b = 2.22 mph

a = (4/5) * 2.22 = 1.78 mph

The speed of the first runner is 1.78 mph while for the second runner is 2.22 mph

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Answer:

16 mph and 20 mph (please mark brainiest)

Step-by-step explanation: