1973 AHSME Problems/Problem 34
Problem
A plane flew straight against a wind between two towns in 84 minutes and returned with that wind in 9 minutes less than it would take in still air. The number of minutes (2 answers) for the return trip was
Solution
Let be the distance between the two towns, be the speed of the plane, and be the speed of the wind. Since the time it took to fly against the wind towards the other town is minutes, Since flying with the wind on the return trip takes minutes less compared to the return trip without wind, Substitute and substitute and That means or . If , then . If , then . The number of minutes for the return trip can be .
See Also
1973 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 33 |
Followed by Problem 35 | |
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