Answered

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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?

Sagot :

oladayoademosu

Answer:

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  

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