**PLEASE ANSWER ASAP** Nemo the clownfish got lost and ended up 1,050 miles away from his dad Marlin. Marlin swam 16 hours a day for 5 days to try and find his son. The first 2 days, he swam at a rate of 8 mph. Then he met Dory with slowed down his pace to a rate of 5 mph for the remainder of his journey. During these 5 days, Nemo swam back to his dad at a constant rate for 13 hours a day. After these 5 days, Marlin and Nemo were still 99 miles apart. At what rate was Nemo swimming?
To find the rate at which Nemo was swimming, we need to calculate the total distance that Marlin and Nemo covered individually and then find the difference between them.
First, let's calculate the distance Marlin covered in the first two days when he was swimming at a rate of 8 mph. Marlin swam for 16 hours per day, so in two days, he covered a distance of:
Distance covered by Marlin in the first two days = (Rate of swimming) × (Hours of swimming per day) × (Number of days)
= 8 mph × 16 hours/day × 2 days
= 256 miles
Next, let's calculate the distance Marlin covered in the remaining 3 days when he met Dory and swam at a rate of 5 mph. Marlin swam for 16 hours per day, so in three days, he covered a distance of:
Distance covered by Marlin in the remaining three days = (Rate of swimming) × (Hours of swimming per day) × (Number of days)
= 5 mph × 16 hours/day × 3 days
= 240 miles
Now, let's find the total distance Marlin covered in those 5 days:
Total distance covered by Marlin = Distance covered in the first two days + Distance covered in the remaining three days
= 256 miles + 240 miles
= 496 miles
Since Marlin and Nemo were still 99 miles apart after these 5 days, we can conclude that Nemo covered a distance of:
Distance covered by Nemo = Total distance covered by Marlin - Distance between Marlin and Nemo after 5 days
= 496 miles - 99 miles
= 397 miles
Finally, let's calculate the average rate at which Nemo was swimming by dividing the distance covered by Nemo by the number of hours Nemo swam per day:
Rate at which Nemo was swimming = Distance covered by Nemo ÷ (Hours of swimming per day × Number of days)
= 397 miles ÷ (13 hours/day × 5 days)
= 397 miles ÷ 65 hours
= 6.11 mph
Therefore, Nemo was swimming at a rate of approximately 6.11 mph.