Question

Olivia is staying in a cottage along a beautiful and straight shoreline. A point Q on the shoreline is located 4 kilometers east of the cottage, and an island is located 2 kilometers north of Q (see image below). Olivia plans to travel from the cottage to the island by some combination of walking and swimming. She can start to swim at any point P between the cottage and the point Q. If she walks at a rate of 3 km/hr and swims at a rate of 2 km/hr, what is the minimum possible time it will take Olivia to reach the island? You may enter an exact answer or round to the nearest hundredth of an hour. Three points labeled Cottage, Q, and Island form a right triangle. u may enter an exact answer or round to the nearest hundredth of an hour.

Name: olivia is staying in a cottage along a beautiful and straight shoreline a point q on the shoreline is located 4 kilometers east of the cottage and an island is located 2 kilometers north of q see imag
Uploaded: 2023-04-16T06:46:36-08:00
Duration: 5 min 50 s
Channel: Khushbu Rani
Description: olivia is staying in a cottage along a beautiful and straight shoreline a point q on the shoreline is located 4 kilometers east of the cottage and an island is located 2 kilometers north of q see imag

          Olivia is staying in a cottage along a beautiful and straight
shoreline. A point Q on the shoreline is located 4 kilometers east
of the cottage, and an island is located 2 kilometers north of Q
(see image below). Olivia plans to travel from the cottage to the
island by some combination of walking and swimming. She can start
to swim at any point P between the cottage and the point Q. If she
walks at a rate of 3 km/hr and swims at a rate of 2 km/hr, what is
the minimum possible time it will take Olivia to reach the island?
You may enter an exact answer or round to the nearest hundredth of
an hour. Three points labeled Cottage, Q, and Island form a right
triangle.
u may enter an exact answer or round to the nearest hundredth of
an hour.

Added by Vickie O.

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