We know that the variation is proportianal, that is we can relate the quantities as:
where y is the mass of the body and x is the mass of water. From the values given we have that:
hence the constant of proportionality is 3/2. Now, if the mass of the water is 75, then the mass of the body is:
Therefore, the mass of the body is 112.5 kilograms
Answer:
Step-by-step explanation:
Let "s" be the the speed of the car taking the shorter route in ,
Let "s-2" the speed of the cat taking the longer route in ,
Let "d" be the distance of the shorter route in miles and "d+43" be the distance of the longer route in miles.
Now, Equation for car taking the shorter route is given as:
(1)
and Equation for car taking the longer route is given as:
(2)
Now, substitute equation (1) in (2), we get
⇒
⇒
Therefore, equation (1) becomes,
Thus, the shorter route is =275 miles and the longer route is =d+43=275+43= 318 miles.