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AWESOMEMIHI
02.02.2021 •
Mathematics
After running for 5/6 of an hour, Konnor is 1/3 of the way through his run. How long will it take Konnor to finish his run if he continues at the same pace?
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Ответ:
2.5 hours
Step-by-step explanation:
We need to find the rate at which Konnor runs. So his speed = distance/time.
Let x be his total distance. The distance covered in 5/6 of an hour is x/3. So, his speed is x/3 ÷ 5/6 = x/3 × 6/5 = 2x/5
Now, the rest of the distance left to cover is 1 - 1/3 = 2/3. So, the remaining distance is 2x/3.
The time required to cover this distance is t = 2x/3 ÷ speed = 2x/3 ÷ 2x/5 = 2x/3 × 5/2x = 5/3 of an hour.
So, the total time required for Konnor to complete his run is 5/6 + 5/3 of an hour = 5/6 + 5/3
= (5 + 10)/6
= 15/6
= 5/2 of an hour
= 2.5 hours
Ответ: