A boat leaves a dock at 2:00 P.M. and travels due south at a speed of 5 km/h. Another boat has been heading due east at 10 km/h and reaches the same dock at 3:00 P.M.

Question

A boat leaves a dock at 2:00 P.M. and travels due south at a speed of 5 km/h. Another boat has been heading due east at 10 km/h and reaches the same dock at 3:00 P.M. How many minutes past 2:00 P.M. were the boats closest together?

__________ minutes

Answer 1

one boat leaves a dock at 2pm going due south at 5 kph

2nd boat goes due east at 10 kph and arrives at the same dock at 3pm

at what time were the two boats the closest, with minimum distance between them?

at 3pm they're 5 km apart

at 2pm 10 km apart

at 2:30 sqr(5^2+2.5^2)=sqr31.25 km apart

they're closest at 3pm, 1 hour after the 1st boat left the dock

60 minutes past 2 pm