# 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

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#### 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. How fasts the ships are separating are determined.

$2.19