A man starts walking north at 2ft/s from a point P. Five minutes later a woman starts walking south at 5ft/s from a point 500ft due east of P. At what rate are the woman and man separating when the woman starts walking? (Round your answer to two decimal places.)Enter a number:______ft/s
Q. A man starts walking north at 2ft/s from a point P. Five minutes later a woman starts walking south at 5ft/s from a point 500ft due east of P. At what rate are the woman and man separating when the woman starts walking? (Round your answer to two decimal places.)Enter a number:______ft/s
Rephrase Problem: First, let's rephrase the problem into a single question_prompt: "At what rate are the man and woman separating from each other after the woman starts walking?"
Calculate Speeds: The man is walking north at 2ft/s, and the woman starts walking south at 5ft/s. Since they are walking in opposite directions, their speeds will add up when calculating the rate at which they are separating.
Add Speeds: To find the rate at which they are separating, we add the man's speed to the woman's speed.Rate of separation = Man's speed + Woman's speedRate of separation = 2ft/s+5ft/s
Perform Calculation: Perform the calculation to find the rate of separation. Rate of separation = 2ft/s+5ft/s=7ft/s
Final Answer: The rate at which the man and woman are separating after the woman starts walking is 7ft/s. This is the final answer, and it is already rounded to two decimal places as required.
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