Step-by-step explanation:
Given that,
Runner 1 runs 14 miles in 3 hours. His average speed is given by :

Runner 2 runs 16 miles in 4 hours. His average speed is given by :

Runner 3 runs 15 miles in 6 hours. His average speed is given by :

Total distance covered by all three runners, D = 14 + 16 +15 = 45 miles
Total time taken, t = 3 + 4 + 6 = 13 hours
The average speed of all the runners together is given by :

Hence, this is the required solution.