Answer:
1 hour after they leave
Step-by-step explanation:
The distance each travels is proportional to its speed. The given speeds are at right angles to each other in a 5:12 ratio. The Pythagorean theorem tells you the hypotenuse of such a right triangle will have length ...
√(5²+12²)=√169 = 13
That is the speeds are in the ratio 5:12:13, where 13 represents the relative separation speed. Actual speeds are then 50 mph : 120 mph : 130 mph.
So the distance between the boat and steamer will be increasing at 130 mph. The distance will be 130 miles after 1 hour.
If boat started from the same dock and at the same time, the distance between them be 130 m in 1 hour
Given :
A boat heads south at 120 mph while a steamer heads east at 50 mph
WE know that distance = speed * time
Let 't' be the time taken
Distance covered when steamer heads south =[tex]120 t[/tex]
Distance covered in when steamer heads east=50 t
we need to find out 't' when distance between them is 130 miles
When boat heads south and east then it forms a right angle triangle
Lets apply Pythagorean theorem ,
[tex]c^2=a^2+b^2\\130^2=(120t)^2+(50t)^2\\16900=14400t^2+2500t^2\\16900=16900t^2 \\\\divide \; by \; 16900\\t^2=1\\t=1[/tex]
the distance between them be 130 mi in 1 hour
Learn more : brainly.com/question/5802429
