Problem: A child, who is 45 m from the bank of a river, is being carried helplessly downstream by the rivers swift current of 1.0 m/s. As the child passes a lifeguard on the rivers bank, the lifeguard starts swimming in a straight line until she reaches the child at a point downstream. If the lifeguard can swim at a speed of 2.0 m/s relative to the water, how long does it take her to reach the child?How far downstream does the lifeguard intercept the child?

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Problem Details

A child, who is 45 m from the bank of a river, is being carried helplessly downstream by the rivers swift current of 1.0 m/s. As the child passes a lifeguard on the rivers bank, the lifeguard starts swimming in a straight line until she reaches the child at a point downstream.

If the lifeguard can swim at a speed of 2.0 m/s relative to the water, how long does it take her to reach the child?

How far downstream does the lifeguard intercept the child?

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Relative Velocity in 2D concept. You can view video lessons to learn Relative Velocity in 2D. Or if you need more Relative Velocity in 2D practice, you can also practice Relative Velocity in 2D practice problems.