Suppose that a fish swam 17.5 kilometers in 5 hours at a constant speed. Complete parts a and b. $$ \begin{array}{l} ext { a. How many kilometers per hour did the fish swim? } \ ext { It swam at } 3.5 ext { kilometer(s) per hour. } \ ext { (Simplify your answer.) } \ ext { b. At this rate, how long will it take the fish to swim } 28 ext { kilometers? } \ ext { It will take } \square ext { hour(s). } \ ext { (Simplity your answer.) }\end{array} $$

Question

Suppose that a fish swam 17.5 kilometers in 5 hours at a constant speed. Complete parts a and b. $$ \begin{array}{l}	ext { a. How many kilometers per hour did the fish swim? } \ 	ext { It swam at } 3.5 	ext { kilometer(s) per hour. } \ 	ext { (Simplify your answer.) } \ 	ext { b. At this rate, how long will it take the fish to swim } 28 	ext { kilometers? } \ 	ext { It will take } \square 	ext { hour(s). } \ 	ext { (Simplity your answer.) }\end{array} $$

UpStudy AI · Accepted Answer

To solve the problem, we will break it down into two parts as requested.

### Part a: Calculate the speed of the fish in kilometers per hour.

1. **Known Conditions**:
   - Distance traveled by the fish: $$ d = 17.5 $$ kilometers
   - Time taken: $$ t = 5 $$ hours

2. **Formula for speed**:
   The speed $$ s $$ can be calculated using the formula:
   $$
   s = \frac{d}{t}
   $$

3. **Substituting the known values**:
   $$
   s = \frac{17.5}{5}
   $$

4. **Calculating the speed**:
   $$
   s = 3.5 \text{ kilometers per hour}
   $$

Thus, the fish swam at a speed of $$ 3.5 $$ kilometers per hour.

### Part b: Calculate the time it will take to swim 28 kilometers.

1. **Known Conditions**:
   - Distance to swim: $$ d = 28 $$ kilometers
   - Speed of the fish: $$ s = 3.5 $$ kilometers per hour

2. **Formula for time**:
   The time $$ t $$ can be calculated using the formula:
   $$
   t = \frac{d}{s}
   $$

3. **Substituting the known values**:
   $$
   t = \frac{28}{3.5}
   $$

4. **Calculating the time**:
   $$
   t = 8 \text{ hours}
   $$

Thus, it will take the fish $$ 8 $$ hours to swim $$ 28 $$ kilometers.

### Final Answers:
- a. The fish swam at $$ 3.5 $$ kilometers per hour.
- b. It will take $$ 8 $$ hours.
a. The fish swam at 3.5 kilometers per hour. b. It will take 8 hours to swim 28 kilometers.

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