A boat heads north at 30 mph while a steamer heads east at 40 mph at the same time. When is the distance between them 50 mi?

Question

Caitlin

Mathematics

9 June, 16:56

A boat heads north at 30 mph while a steamer heads east at 40 mph at the same time. When is the distance between them 50 mi?

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Taylor Montgomery · Answer 1

let t = time (hrs) that they are 50 mi apart

Use pythag here; a^2 + b^2 = c^2; dist = speed * time

(30t) ^2 (40t) ^2 = 50^2

900t^2 + 1600t^2 = 2500

It's obvious that t = 1 hr