In an 18-mile duathlon you run then Bike 12 miles and then run again the two runs are the same distance find the distance of eac
2 answers:
Answer:
3 miles.
Step-by-step explanation:
We have been given that in an 18-mile duathlon you run then Bike 12 miles and then run again.
The distance covered by running would be 18 miles minus 12 miles.
Since two runs are the same distance, so distance of each run would be 6 divided by 2.
Therefore, the distance of each run was 3 miles.
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Step-by-step explanation:
The upstream speed is S / t₁, and the downstream speed is S / t₂.
If we say f is the speed of the fish in calm water, and r is the speed of the river, then:
f − r = S / t₁
f + r = S / t₂
If we say T is the time it takes to cross the river, then the speed perpendicular to the river is ℓ/T, the speed parallel to the river is r, and the overall speed is f.
Using Pythagorean theorem:
f² = (ℓ/T)² + r²
f² − r² = (ℓ/T)²
(f − r) (f + r) = (ℓ/T)²
(S / t₁) (S / t₂) = (ℓ/T)²
S² / (t₁ t₂) = (ℓ/T)²
(t₁ t₂) / S² = (T/ℓ)²
√(t₁ t₂) / S = T/ℓ
T = ℓ√(t₁ t₂) / S
