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Jane is traveling south at 35 m/s and is catching up to Rita who is traveling at 32m/s and is 24m ahead.

How long does it take Jane to pass Rita?

1 Answer

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Final answer:

Jane catches up to Rita in 8 seconds since she is traveling at a relative velocity of 3 m/s and needs to cover a distance of 24 meters.

Step-by-step explanation:

To calculate how long it takes Jane to pass Rita, who is traveling at a slower speed and is ahead by a certain distance, we need to consider the relative velocity between them. Jane's speed is 35 m/s, and Rita's speed is 32 m/s. The relative velocity of Jane with respect to Rita is the difference in their speeds, which is 3 m/s (35 m/s - 32 m/s).

Rita is 24 meters ahead, so we can use the formula time = distance / relative velocity to find out how long it takes Jane to catch up with Rita. Therefore, it takes Jane 8 seconds to pass Rita since time is 24 meters divided by 3 m/s.

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