Tofind:The two speeds of the hydrofoil.
Answer to Problem 15P
Thehydrofoil has the speed of 45 km/h while going forward and the speed of 30 km/h while returning.
Explanation of Solution
Given:
The roundtrip of 144 km is made in 4 h.
The average speed of returning is 15 km/h less than the average speed of going out.
Calculation:
Consider the average speed of the hydrofoil is x . The total trip is of 144 km means each way is 72 km. The total time taken is 4 h.
The solution of the given equation is obtained by using the quadratic formula.
For a
Comparing the given equation with the standard quadratic equation, the coefficients are:
Substituting these in the formula for the roots.
The value of x as 6 is not valid because it means that the hydrofoil is pushed back by the winds. Therefore the speed of hydrofoil while going is 45 km/h and while returning 45-15 = 30 km/h.
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Algebra and Trigonometry: Structure and Method, Book 2
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