Question

Curtis has started to bike everyday. His goal is to ride 16.5 km each day. He bikes 2/3 of the distance on Monday. He bikes 3.5 fewer kilometers on Tuesday that he did on Monday. How many kilometers did Curtis bike on Monday and Tuesday combined

Answer 1

To find out how many kilometers Curtis biked on Monday and Tuesday combined, we will first determine the distance he biked on each day.

1. **Distance on Monday**:
Curtis rides \( \frac{2}{3} \) of his goal distance of 16.5 km.
\[
\text{Distance on Monday} = \frac{2}{3} \times 16.5
\]
\[
\text{Distance on Monday} = \frac{2 \times 16.5}{3} = \frac{33}{3} = 11 \text{ km}
\]

2. **Distance on Tuesday**:
Curtis bikes 3.5 km fewer than he did on Monday.
\[
\text{Distance on Tuesday} = \text{Distance on Monday} - 3.5
\]
\[
\text{Distance on Tuesday} = 11 - 3.5 = 7.5 \text{ km}
\]

3. **Total Distance on Monday and Tuesday**:
Now we add the distances from both days.
\[
\text{Total Distance} = \text{Distance on Monday} + \text{Distance on Tuesday}
\]
\[
\text{Total Distance} = 11 + 7.5 = 18.5 \text{ km}
\]

Thus, Curtis biked a total of **18.5 kilometers** on Monday and Tuesday combined.