Each day, Eve records how long it takes her to complete a puzzle - OCR - GCSE Maths - Question 10 - 2020 - Paper 1
Question 10
Each day, Eve records how long it takes her to complete a puzzle.
On Friday, she took 50% less time than Thursday.
On Saturday, she took 20% less time than on Frida... show full transcript
Worked Solution & Example Answer:Each day, Eve records how long it takes her to complete a puzzle - OCR - GCSE Maths - Question 10 - 2020 - Paper 1
Step 1
How many minutes did she take to complete the puzzle on Friday?
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Answer
Let the time taken on Thursday be T minutes. If she took 50% less time on Friday, then:
extTimeonFriday=T−0.5T=0.5T.
Step 2
How many minutes did she take to complete the puzzle on Saturday?
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Answer
On Saturday, she took 20% less time than Friday. Therefore:
extTimeonSaturday=extTimeonFriday−0.2imesextTimeonFriday=0.8imesextTimeonFriday=0.8imes0.5T=0.4T.
Step 3
How does this relate to the given Saturday time?
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Answer
We know that she takes 36 minutes on Saturday, so we can set up the equation:
0.4T=36.
Step 4
Calculate the time taken on Thursday.
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Answer
Now, solving for T gives:
T=0.436=90.
Step 5
Final answer.
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Answer
Thus, the time taken to complete the puzzle on Thursday is 90 minutes.
