Photo AI

Carla runs every 3 days - OCR - GCSE Maths - Question 2 - 2017 - Paper 1

Question icon

Question 2

Carla-runs-every-3-days-OCR-GCSE Maths-Question 2-2017-Paper 1.png

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

96%

114 rated

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

99%

104 rated

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

96%

101 rated

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.

Join the GCSE students using SimpleStudy...

97% of Students

Report Improved Results

98% of Students

Recommend to friends

100,000+

Students Supported

1 Million+

Questions answered

;