A bee flies from its hive to a flower at a constant speed of 7.5 metres per second for 10 seconds - OCR - GCSE Maths - Question 20 - 2018 - Paper 1

To find the overall average speed of the bee, we first need to calculate the total distance traveled and the total time taken.

1. Calculate distance to the flower:

   • Speed = 7.5 m/s
   • Time = 10 s
   • Distance = Speed × Time = $7.5 \, \text{m/s} \times 10 \, \text{s} = 75 \, \text{m}$

2. Calculate distance from the flower back to the hive:

   • Distance = 75 m (the same distance as going to the flower)

3. Total distance traveled:

   • Total distance = Distance to the flower + Distance back to the hive = $75 \, \text{m} + 75 \, \text{m} = 150 \, \text{m}$

4. Calculate total time taken:

   • Time to flower = 10 s
   • Time back to hive = 15 s
   • Total time = $10 \, \text{s} + 15 \, \text{s} = 25 \, \text{s}$

5. Calculate overall average speed:

   • Average Speed = Total Distance ÷ Total Time = $150 \, \text{m} ÷ 25 \, \text{s} = 6 \, \text{m/s}$.