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.