Brain Challenge

Week 317 (6th October 2023)

Week 317 (6th October 2023)

Two friends have become quite competitive with their running.  

Jolie runs for 15 minutes at an average speed of 6 miles per hour.  

She then runs for 40 minutes at an average speed of 9 miles per hour.  

It takes Alfie 45 minutes to run the same total distance that Jolie runs.  

Work out Alfie’s average speed.  

Give your answer in miles per hour. 

Answer: 

speed = distance/time, if we want our answer in mph distance must be in miles and time in hours.  

We need to find the total distance Jolie ran in 2 parts since she changed speed.  

6 = distance/0.25, multiply both sides by 0.25 to find that distance = 1.5miles 

9 = distance/0.67, multiple both sides by 0.67 to find that distance = 6miles 

Now we can find the speed of Alfie:  

speed = 7.5/0.75 = 10mph 

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