Answer:
21 miles
Explanation:
Let's assume the distance from the school to the duck pond is "d" miles.
The time it took for the team to reach the duck pond at a speed of 3 mph is given by:
Time = Distance / Speed
Time = d / 3
The time it took for the team to run back to the school at a speed of 7 mph is given by:
Time = Distance / Speed
Time = d / 7
According to the given information, the total trip took 10 hours. Therefore, we can set up the equation:
Time to duck pond + Time back to school = 10
(d / 3) + (d / 7) = 10
To solve this equation, we can find a common denominator and simplify:
(7d + 3d) / 21 = 10
10d / 21 = 10
Now, we can cross-multiply and solve for "d":
10d = 10 * 21
10d = 210
d = 210 / 10
d = 21
Therefore, the distance from the school to the duck pond is 21 miles.