Final answer:
The total distance traveled by the first five cyclists is 138.4 km. The distance traveled by the sixth cyclist, needed to reach a combined total of 170 km, is 31.6 km.
Step-by-step explanation:
The question relates to the total distance traveled by a group of cyclists during a time race and the contribution of an additional cyclist to this total. To find the answers, we need to perform addition of the distances traveled by the first five cyclists and subtraction to find the distance of the sixth cyclist.
To calculate the total distance traveled by the five cyclists, we simply add their individual distances together:
- 38.25 km
- 23.4 km
- 30.07 km
- 25.78 km
- 20.9 km
Total distance = 38.25 km + 23.4 km + 30.07 km + 25.78 km + 20.9 km = 138.4 km.
The sixth cyclist's distance can be found by subtracting the total distance traveled by the first five cyclists from the new total:
Total distance with sixth cyclist = 170 km
Distance traveled by the sixth cyclist = 170 km - 138.4 km = 31.6 km.