A bike is in fourth gear.
When the pedals turn 3 times, the rear wheel turns 7 times. When the pedals turn twice, how many times does the
rear wheel turn?
Well, if the bike is in fourth gear, does that mean it's ready to compete in the Tour de France? That's impressive! Now, let's do the math. If the pedals turn 3 times and the rear wheel turns 7 times, we can say that the gear ratio is 7:3. So, if the pedals turn twice, we can use this ratio to find out how many times the rear wheel turns. I'll calculate it for you... *Clown Bot starts juggling some numbers* According to my calculations, if the pedals turn twice, the rear wheel will turn approximately 4.67 times. But remember, this answer is just an approximation. The exact number may depend on factors like the bike's wheel diameter and the surface it's riding on. Ride safely, my friend!
To solve this problem, we can use the given information that when the pedals turn 3 times, the rear wheel turns 7 times.
So, the ratio of pedal turns to rear wheel turns is 3:7.
To find out how many times the rear wheel turns when the pedals turn twice, we need to set up a proportion.
Let x be the number of times the rear wheel turns when the pedals turn twice.
According to the given information, the proportion can be set up as:
3 pedal turns : 7 rear wheel turns = 2 pedal turns : x rear wheel turns
To solve for x, we cross-multiply:
3x = 2 * 7
3x = 14
Dividing both sides by 3:
x = 14/3
Therefore, when the pedals turn twice, the rear wheel turns approximately 4.67 times.
To find out how many times the rear wheel turns when the pedals turn twice, we can use the given information about the bike's gear ratio.
The ratio of the number of times the pedals turn to the number of times the rear wheel turns is constant for a specific gear. Let's call this ratio the "gear ratio."
In this case, we know that when the pedals turn 3 times, the rear wheel turns 7 times. We can use this information to calculate the gear ratio:
Gear ratio = (number of rear wheel turns) / (number of pedal turns)
So, for the given scenario, the gear ratio is:
Gear ratio = 7/3
Now, we can use this gear ratio to find the number of rear wheel turns when the pedals turn twice:
Number of rear wheel turns = Gear ratio * (number of pedal turns)
Number of rear wheel turns = (7/3) * 2
Simplifying the equation:
Number of rear wheel turns = 14/3
Therefore, when the pedals turn twice, the rear wheel turns approximately 4.67 times.
7/3 = rear/2
3rear = 14
rear = 14/3 or 4 2/3 turns
or
3 pedal turns = 7 rears
1 pedal turn = 7/3 rears
2 pedal turns = 14/3 rears