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prxncekevin
15.11.2019 •
Mathematics
Amarathon runner runs at the rate of 9 mph for the complete course. a track man runs at 12 mph. if together they run for 3 hrs., 1 min. to complete a total of 28 miles, how far did the marathon runner run? 24 3/5 miles 21 miles 20 4/5 miles
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Ответ:
t₁ + t₂ = 3 hours and 1 minute
For consistency, let's convert minute to hours.
1 minute (1 hour/60 minutes) = 1/60
Total time = 3+1/60 = 3.0167 hours
t₁ + t₂ = 3.0167 hours > equation 1
The other equation is the total distance. When you multiply speed with time, the answer would be distance. Thus.
9t₁ + 12t₂ = 28 miles > equation 2
Since there are two unknowns and 2 equations, the system is solvable:
t₁ = 3.0157 - t₂
9(3.0167 - t₂) + 12t₂ = 28
t₂ = 0.2832 hour, and
t₁ = 3.0157 - 0.2832 = 2.733 hours
Therefore, the distance run by the marathon runner is
9*2.733 = 24.597 or approximately 24 3/5.
Ответ:
Remainder : The leftover of the previously done computation
From the equation above, the quotient and remainder would be :
B. 245 R17
Hope this helps