The length, d, of Jamal's car is 4.72m, correct to 2 decimal places - OCR - GCSE Maths - Question 11 - 2020 - Paper 1

First, we determine the shortest possible distance Jamal travels:

• The distance of 430 km, correct to the nearest 10 km, implies the smallest value is 425 km.

Next, we find his average speed:

• The average speed is given as 57.3 km/h, with a possible variation due to rounding to 1 decimal place. Therefore, the minimum average speed is 57.25 km/h.

Using the formula for time, which is: $ext{Time} = \frac{\text{Distance}}{\text{Speed}}$ we can calculate the shortest time:

• Substituting the values: $\text{Time} = \frac{425 \text{ km}}{57.25 \text{ km/h}} \approx 7.43 \text{ h}$

To convert hours into hours and minutes:

• The decimal part, 0.43 hours, is equivalent to: $0.43 \times 60 \approx 25.8 \text{ minutes}$

Thus, the total time is approximately 7 hours and 26 minutes when rounded to the nearest minute.