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Real-Life Math -- Solution

This type of problem is very common in navigation, says John Mackie. He was a marine navigator in the coast guard.

Let's say that you were allowed to reach the maximum speed. It would take your vessel 6 hours and 30 minutes to reach its destination. Why?

Time = distance / speed

Time = 156 knots / 24 knots per hour
Time = 6.5 hours
Time = 6 hours 30 minutes

But since the captain wants to cover the distance of 156 nautical miles in exactly 8 hours, you must solve for speed instead.

Speed = distance / time

Speed = 156 knots / 8 hours
Speed = 19.5 knots per hour

So your ship must travel at a speed of 19.5 knots an hour to meet the supply ship at 8 a.m.


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