ari is swimming a 25 - meter race. after swimming 6 meters, she catches up to amanda in a ratio of 7:3 from…

ari is swimming a 25 - meter race. after swimming 6 meters, she catches up to amanda in a ratio of 7:3 from the 6 - meter mark. at what meter mark does ari catch up to amanda? round to the nearest tenth, if necessary. ari catches up to amanda at meters.

ari is swimming a 25 - meter race. after swimming 6 meters, she catches up to amanda in a ratio of 7:3 from the 6 - meter mark. at what meter mark does ari catch up to amanda? round to the nearest tenth, if necessary. ari catches up to amanda at meters.

Answer

Answer:

18.6

Explanation:

Step1: Determine the remaining distance

The total race is 25 - meter and she has swum 6 meters, so the remaining distance is $25 - 6=19$ meters.

Step2: Use the ratio to find the distance from 6 - meter mark

The ratio of the distance Ari swims to catch - up is 7:3. The total ratio parts is $7 + 3=10$. The distance from the 6 - meter mark that Ari swims to catch up is $\frac{7}{10}\times19 = 13.3$ meters.

Step3: Calculate the meter mark

Add the initial 6 meters to the distance from the 6 - meter mark. So the meter mark is $6+13.3 = 18.6$ meters.