Two ships A and B are $$10km$$ apart on a line running south to north. Ship A farther north is streaming west at $$20$$ $$km/h$$ and ship B is streaming north at $$20$$ $$km/h$$. Their distance of closest approach and how long do they take to reach it ?

Question

Infinity Learn · Accepted Answer

When a ship A is observing relative to ship B , Velocity of ship b relative to Ship A $$=$$ we can write From the velocity triangle ,In $$trianglex=$$ shortest distance $$=$$ $$Am=AB$$ $$sin$$ θ.: x $$=$$ $$10x$$ $$sin$$ $$450$$ m $$=$$ $$5$$ √$$2$$ kmNow length BM $$=$$ AB $$cos$$θ $$=$$ $$10$$ x  $$cos$$ $$450$$ m $$=$$ $$5$$√$$2$$ km

Two ships A and B are 10km apart on a line running south to north. Ship A farther north is streaming west at 20 km/h and ship B is streaming north at 20 km/h. Their distance of closest approach and how long do they take to reach it ?

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material