Answer:
One cyclist travels at 17 m/h and the other at 22 m/h.
Step-by-step explanation:
Let one cyclist travel at x m/h and the other at (x+5) m/h.
Their combined speed is x + x + 5 = 2x+5 m/h.
When they meet the total distance they have travelled will be 78 miles.
Speed = distance / time taken, so:
2x+5 = 78/2
2x + 5 = 39
2x = 34
x = 17 m/h = speed of one cyclist.
So the other travels at 17+5 = 22 m/h.