Tristan runs 5 kilometers in 45 minutes. His goal is to run the same distance in 40 mins by next year. How many kilometres per hour does he need to run next year to reach his goal?

5K in 40 minutes = 5K in 2/3 hour

5K * 3/2 = 7.5K per hour

To find out how many kilometers per hour Tristan needs to run next year in order to reach his goal, we first need to determine his current running speed in kilometers per hour.

We can convert the time from minutes to hours by dividing it by 60:

45 minutes ÷ 60 = 0.75 hours

Next, we divide the distance Tristan runs by the time taken to get his current speed:

5 kilometers ÷ 0.75 hours = 6.67 kilometers per hour

Therefore, Tristan's current running speed is 6.67 kilometers per hour.

Now, let's calculate the speed he needs to achieve his goal of running the same distance in 40 minutes.

As before, we convert the time from minutes to hours:

40 minutes ÷ 60 = 0.67 hours

To find the required speed, we divide the distance by the new time:

5 kilometers ÷ 0.67 hours = 7.46 kilometers per hour

Therefore, Tristan needs to run approximately 7.46 kilometers per hour next year to reach his goal.