Question

Two ships leave port at the same time. Ship A sails north at a speed of 10 mph while ship B sails east at a speed of 35 mph. Find an expression in terms of the time t (in hours) giving the distance between two ships.

Answer 1

Answer:

  d = (5√53)t

Step-by-step explanation:

After 1 hour, A is 10 miles north of the port, and B is 35 miles east of the port. Since these directions are at right angles, the Pythagorean theorem can be used to find the distance between the ships:

  d = √(10² +35²) = √(100 +1225) = √1325 = 5√53 . . . . miles

The distance between the ships is increasing this number of miles each hour, so the desired expression is ...

  d = (5√53)t ≈ 36.4t