QuestionAugust 24, 2025

Eagle Electric Bikes charges its customers a per -minute fee for bike rentals. The first time Ross rented from them , he got a 10 new-customer discount and used the bike for 64 minutes. The second time , he used the bike for 39 minutes. He noticed that he was charged the same amount each time. What is the per -minute fee to rent an electric bike? square

Eagle Electric Bikes charges its customers a per -minute fee for bike rentals. The first time Ross rented from them , he got a 10 new-customer discount and used the bike for 64 minutes. The second time , he used the bike for 39 minutes. He noticed that he was charged the same amount each time. What is the per -minute fee to rent an electric bike? square
Eagle Electric Bikes charges its customers a per -minute fee for bike rentals. The first time Ross rented from them , he got a 10 new-customer discount and used the bike for 64 minutes. The second time , he used the bike for 39 minutes. He noticed that he was charged the same amount each time. What is the per -minute fee to rent an electric bike? square

Solution
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Answer

\0.40 Explanation 1. Define the total cost for each rental Let x be the per-minute fee. The first rental cost is 64x - 10, and the second rental cost is 39x. Both costs are equal. 2. Set up the equation 64x - 10 = 39x 3. Solve for x Rearrange to find x: \[ 64x - 39x = 10 \] \[ 25x = 10 \] \[ x = \frac{10}{25} \] 4. Simplify the fraction Simplify \frac{10}{25} to get: \[ x = \frac{2}{5} \]

Explanation

1. Define the total cost for each rental<br /> Let $x$ be the per-minute fee. The first rental cost is $64x - 10$, and the second rental cost is $39x$. Both costs are equal.<br /><br />2. Set up the equation<br /> $64x - 10 = 39x$<br /><br />3. Solve for x<br /> Rearrange to find $x$: <br />\[ 64x - 39x = 10 \]<br />\[ 25x = 10 \]<br />\[ x = \frac{10}{25} \]<br /><br />4. Simplify the fraction<br /> Simplify $\frac{10}{25}$ to get:<br />\[ x = \frac{2}{5} \]
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