It will take the ship 5 hours to travel 75 miles
A variation is a relation between a set of values of one variable and a set of values of other variables. Direct variation. In the equation y = mx + b, if m is a nonzero constant and b = 0, then you have the function y = mx (often written y = kx), which is called a direct variation.
if it takes 2 hours to cover 30 miles by the ship and 4 hours to cover 60 miles.
let d be the distance covered in miles and t time taken in hours
The d ∝ t
introducing a constant
d = kt
when d = 30, t = 2
30 = 2k
k = 30/2
k = 15
The equation relating d and t is
d = 15t
to find t when d = 75, making t the subject of the equation
t = d/15
t = 75/15
t = 5 hours
In conclusion, 5 hours is the time taken to cover 75 miles.
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