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Related rates

Northbound ship A leaves the harbour at 10:00 with a speed of 12km/h. Westbound ship B leaves the same harbour at 10:30 with a speed of 16km/h.

(a) How fast are the ships separating at 11:30?

(b) When is their rate of separation 18.86 km/h

Solution Preview

(a) At 11:30, ship A is 12*1.5=18 km northbound of the harbour
ship B is 16*1=16 km westbound of the harbour,
therefore, distance=Sqrt(18^2+16^2)
(b)The relative speed of ...

Solution Summary

This is a problem regarding related rates of ships.