Answer:
Actual distance is 4500 cm (45 m).
Step-by-step explanation:
A scale is a representative fraction that can be used to either increase or decrease proportionally the dimension of a given object.
scale =
It is in the form of a ratio.
From the question, Distance on map = 4.5 cm,
scale = 1 : 1000
=
scale =
Let the actual distance be represented by d.
So that,
=
⇒ d = 4.5 x 1000
= 4500
d = 4500
The actual distance is 4500 cm (45 m).
Let the rate of the current be x mph and rate of the boat in still water be y mph.
So the relative speed of the boat with the current ( downstream) = y + x and against the current (upstream) it = y - x.
Then , using speed = distance / time:-
y - x = 120/3 = 40
y + x = 120/2 = 60
Adding the 2 equations:-
2y = 100
y = 50
And substituting in the frst equation:-
50 - x = 40
x = 10
Answer:- Rate of boat in still water = 50 mph and rate of the current = 10 mph.
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