# 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?

⚠️Our tutors found the solution shown to be helpful for the problem you're searching for. We don't have the exact solution yet.

###### 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?