Final answer:
The total distance run by the Healthy Reading Club members altogether was 41.25 km, by calculating the distances for each leg of their journey and summing them up.
Step-by-step explanation:
To calculate the total distance the Healthy Reading Club members ran, we can use the speed and time they took between stops. To calculate the distance from the club house to the first rest stop, assuming the time spent is the same in both directions, we divide the total time by 2, giving us 2.5 hours / 2 = 1.25 hours for one way. With a speed of 9 km/h to the first rest stop and 6 km/h on the return, we can calculate the distance with the formula distance = speed × time.
First leg to the rest stop: Distance to first rest stop = 9 km/h × 1.25 hours = 11.25 km
Return leg to the club house: Distance from the first rest stop to the club house = 6 km/h × 1.25 hours = 7.5 km
For the trip between the first and second rest stop, again we divide the total time by 2 to find the time for one way, getting 3 hours / 2 = 1.5 hours for one way, and calculate the distance for each leg.
Second leg from the first rest stop to the second: Distance = 5 km/h × 1.5 hours = 7.5 km
Return leg to the first rest stop: Distance = 10 km/h × 1.5 hours = 15 km
Now, to find the total distance run altogether, we add the distances of all four legs:
Total distance = (11.25 km + 7.5 km) + (7.5 km + 15 km) = 18.75 km + 22.5 km = 41.25 km