Question

A​ five-speed bicycle has a chain linking the pedal sprocket to the gears on the rear wheel. The ratio of pedal turns to​ rear-wheel turns in first gear is 8 to 17. How many times in first gear does the rear wheel turn if the pedals turn 160 ​times?

Answer 1

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Answer:

340

Explanation:

Multiply each number in the ratio by 20:

pedal : wheel = 8 : 17 = 160 : 340

The rear wheel turns 340 times when the pedal turns 160 times.

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Additional comment

As a reasonableness check, realize that 17 is just slightly more than 2 times 8. Then the number of rear wheel turns will be slightly more than 2 times 160.