Question

Angelina jogs 400 meters in the same time that Harry bicycles 600. Harry bicycles 60 meters per minute faster than Angelina jogs. Find the rate of each.

Answer 1

Angelina jogs at a rate of 120 meters per minute and Harry bicycles at a rate of 180 meters per minute.

Step-by-step explanation:

Let's assume Angelina's rate of jogging is x meters per minute. Since Harry bicycles 60 meters per minute faster than Angelina jogs, his rate of bicycling is x + 60 meters per minute. We can set up a ratio based on the information given:

Angelina's rate of jogging / Harry's rate of bicycling = Distance Angelina jogs / Distance Harry bicycles

Plugging in the values: x / (x + 60) = 400 / 600

Now we can solve the equation:

600x = 400(x + 60)

600x = 400x + 24000

200x = 24000

x = 120

Therefore, Angelina's rate of jogging is 120 meters per minute and Harry's rate of bicycling is 180 meters per minute.