Carla runs every 3 days - OCR - GCSE Maths - Question 2 - 2017 - Paper 1
Question 2
Carla runs every 3 days.
She swims every Thursday.
On Thursday 9 November, Carla both runs and swims.
What will be the next date on which she both runs and swims?
Worked Solution & Example Answer:Carla runs every 3 days - OCR - GCSE Maths - Question 2 - 2017 - Paper 1
Step 1
Identify the running schedule
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Answer
Carla runs every 3 days. Starting from the date when she both runs and swims, which is 9 November, we can list her running days:
9 November (Day 0)
12 November (Day 3)
15 November (Day 6)
18 November (Day 9)
21 November (Day 12)
24 November (Day 15)
27 November (Day 18)
30 November (Day 21)
Step 2
Identify the swimming schedule
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Answer
Carla swims every Thursday. Starting from 9 November, the following Thursdays are:
9 November
16 November
23 November
30 November
Step 3
Determine the next date she runs and swims
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Answer
Reviewing the lists:
The next Thursday after 9 November is 16 November; she runs on 15 November.
The following Thursday is 23 November; she runs on 21 November.
The Thursday after that is 30 November, which is also a running day.
Thus, the next date when Carla both runs and swims is 30 November.