Given:
40 pages in 1.6 minutes
40 / 1.6 = 25 pages per minute
25 x 5 minutes = 125 pages
40 / 1.6 = x / 5
40*5 = 1.6x
200 = 1.6x
200/1.6 = x
125 = x pages
25 : 1 = 150 : x
25x = 150
x = 150/25
x = 6 minutes
The 1/2 kilogram is unimportant information in this question. 1/.25 = 8/x. We need to solve for x. Cross multiply to get x = 2. 2$
Answer:
k = 36 and r = 8
Step-by-step explanation:
Given that r varies directly as p and inversely as q² then the equation relating them is
r =
← k is the constant of variation
To find k use the condition r = 27 when p 3 and q = 2, thus
27 =
( multiply both sides by 4 )
108 = 3k ( divide both sides by 3 )
k = 36
r =
← equation of variation
When p = 2 and q = 3, then
r =
=
= 8