A computer can perform x calculations in s seconds.
A computer can perform x calculations in s seconds. How many minutes will it take the computer to perform k calculations?
Answer/Solution
ks/60x
Steps/Work
As 'thick' as this question might look, it's actually a fairly straight-forward Rate question and can be solved by TESTing VALUES.
We're told that a computer can perform X calculations in S seconds.
Let's TEST....
x = 2
S = 3
2 calculations every 3 seconds =
40 calculations every 1 minute
We're asked how many MINUTES it will take to perform K calculations.
Since we already know that the computer can perform 40 calculations in 1 minute, let's TEST...
K = 80
So we're looking for an answer that = 2 when C = 2, S = 3 and K = 80
Answer A: 60KS/x = 60(80)(3)/2 = 7200 This is NOT a match
Answer B: KS/x = (80)(3)/2 = 120 This is NOT a match
Answer C: KS/60x = (80)(3)/(60)(2) = 2 This IS a match
Answer D: 60x/KS = 60(2)/(80)(3) = 1/2 This is NOT a match
Answer E: K/60xS = 80/(60)(2)(3) = a fraction. This is NOT a match
C
We're told that a computer can perform X calculations in S seconds.
Let's TEST....
x = 2
S = 3
2 calculations every 3 seconds =
40 calculations every 1 minute
We're asked how many MINUTES it will take to perform K calculations.
Since we already know that the computer can perform 40 calculations in 1 minute, let's TEST...
K = 80
So we're looking for an answer that = 2 when C = 2, S = 3 and K = 80
Answer A: 60KS/x = 60(80)(3)/2 = 7200 This is NOT a match
Answer B: KS/x = (80)(3)/2 = 120 This is NOT a match
Answer C: KS/60x = (80)(3)/(60)(2) = 2 This IS a match
Answer D: 60x/KS = 60(2)/(80)(3) = 1/2 This is NOT a match
Answer E: K/60xS = 80/(60)(2)(3) = a fraction. This is NOT a match
C