1966 AHSME Problems/Problem 34
Problem
Let be the speed in miles per hour at which a wheel, feet in circumference, travels. If the time for a complete rotation of the wheel is shortened by of a second, the speed is increased by miles per hour. Then is:
Solution
The circumference of the wheel is miles. Let the time for the rotation in seconds be . So . We also know reducing the time by of a second makes increase by . So . Solving for we get . So our answer is .
See also
1966 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 33 |
Followed by Problem 35 | |
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