Hint
Use the stated units and precision. Convert to minutes, add the duration, then divide by 60 and account for complete 24-hour days.
Worked solution
(a)
Convert to minutes, add the duration, then divide by 60 and account for complete 24-hour days.
\(\displaystyle \frac{5}{6}\)
Answer: \(\displaystyle \frac{5}{6}\)
(b)
The continuous arrival count is 1390 minutes after the start of the departure day. Removing 0 complete day(s) gives 23:10.
Answer: 23:10, the same day
(c)
Convert to minutes, add the duration, then divide by 60 and account for complete 24-hour days.
\(10\)
Answer: \(10\)
Maths4U indicative marking guidance
Maths4U indicative marking guidance, not an official mark scheme. Credit complete valid alternative methods and consequential reasoning. An unexplained result does not earn a method mark.
(a) · 2 marks
- 1 mark: Convert to minutes, add the duration, then divide by 60 and account for complete 24-hour days.
- 1 mark: Give the correct requested result, retaining signs, units and any domain restrictions.
Alternative methods: Any complete mathematically valid alternative method with the same restrictions and equivalent exact result is acceptable.
Common error: Keep intermediate values exact until the final step.
(b) · 2 marks
- 1 mark: Add the duration consistently in minutes and convert back to a clock time with its day.
- 1 mark: Give the complete requested result, using the required units, precision and boundary inclusion.
Alternative methods: Any complete mathematically valid alternative method with the same restrictions and equivalent exact result is acceptable.
Common error: Check the answer against the original conditions.
(c) · 2 marks
- 1 mark: Convert to minutes, add the duration, then divide by 60 and account for complete 24-hour days.
- 1 mark: Give the correct requested result, retaining signs, units and any domain restrictions.
Alternative methods: Any complete mathematically valid alternative method with the same restrictions and equivalent exact result is acceptable.
Common error: Keep intermediate values exact until the final step.
Total: 6 marks.