Answer:
24 km/h and 17 km/h
Step-by-step explanation:
We know that when two cyclists are traveling together, they will meet in the same time as if one cyclist with the combined speed of the two cyclists travelled the whole length. We don't know the speeds of the cyclists, so let's assign the one with the slower speed "x", and the one with the faster speed "x+7" the combined speeds is "2x+7"
Since the speed = distance / time, we can plug in the values
2x+7=205/5
2x+7=41
2x=34
x=17
We substitute x into the equation for the speed of the cyclists
Cyclist 1's speed: x, so their speed is 17 km/h
Cyclist 2's speed: x+7, so their speed is 17 + 7, or 24 km/h
