SOLUTION: If you can complete 8 math problems in 20 minutes. How long should it take to do thirty math problems? Solve and explain

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Question 1197100: If you can complete 8 math problems in 20 minutes. How long should it take to do thirty math problems? Solve and explain

Found 2 solutions by math_tutor2020, ewatrrr:
Answer by math_tutor2020(3817) (Show Source):
You can put this solution on YOUR website!

Method 1

8 problems = 20 min
8/20 problems = 20/20 min
0.4 problems = 1 min
The unit rate is 0.4 problems per minute

x = number of minutes
(unit rate)*(number of minutes) = amount done
0.4x = 30
x = 30/0.4
x = 75
You'll need 75 minutes to do 30 problems assuming you can keep the same rate going.

Side note:
75 min = 60 min + 15 min = 1 hour + 15 min
or
75 min = 1 hour + 15 min = 1 hour + (15/60) hour = 1 hour + 0.25 hour = 1.25 hours

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Method 2

(8 problems)/(20 min) = (30 problems)/(x minutes)
8/20 = 30/x
8x = 20*30
8x = 600
x = 600/8
x = 75

Answer: 75 minutes

Answer by ewatrrr(24785) (Show Source):
You can put this solution on YOUR website!

Hi If you can complete 8 math problems in 20 minutes. How long should it take to do thirty math problems? Cross Multiply to Solve: 8x = 600 x = 75min Wish You the Best in your Studies.