Ayaan travels 90 miles at an average speed of 60 mph.
She then travels a further 40 miles.
The average speed for the entire journey is 59 mph.
Assuming Ayaan didn't stop, what was her average speed for the final 40 miles to 2 dp?
90 / 60 = 1.5 hr
(90 + 40) / (t + 1.5) = 59
solve for t
final 40 mile average speed is ... s = 40 / t
god please help im dumb asf
To find the average speed for the final 40 miles, we can use the formula:
Average Speed = Total Distance / Total Time
From the given information, we know that Ayaan traveled a total distance of 90 + 40 = 130 miles.
We also know that the average speed for the entire journey was 59 mph.
Let's first calculate the total time taken for the entire journey.
Total Time = Total Distance / Average Speed
Total Time = 130 miles / 59 mph
Total Time (to 2 decimal places) = 2.20 hours
Now, since we know Ayaan traveled 90 miles at an average speed of 60 mph, we can calculate the time taken for this part of the journey.
Time taken for the first 90 miles = Distance / Speed = 90 miles / 60 mph = 1.5 hours
To find the time taken for the final 40 miles, we subtract the time taken for the first 90 miles from the total time:
Time taken for the final 40 miles = Total Time - Time taken for the first 90 miles
Time taken for the final 40 miles = 2.20 hours - 1.5 hours
Time taken for the final 40 miles (to 2 decimal places) = 0.70 hours
Finally, we can calculate the average speed for the final 40 miles using the formula:
Average Speed = Distance / Time
Average Speed = 40 miles / 0.70 hours
Average Speed (to 2 decimal places) = 57.14 mph
Therefore, the average speed for the final 40 miles is 57.14 mph.