Question

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 1

Answer:19.3

Step-by-step explanation:

Answer 2

Ari catches up to Amanda at 19.3 meters

Step-by-step explanation:

We have given Ari is swimming a 25-meter race.

It is given that after swimming 6 meters she catches up to Amanda in a ratio of 7:3 from the 6-meter mark.

So ,The distance between 6 meters and 25 meters = 25-6 =19 meters

It is given that she catched Amanda in ratio 7:3

So, she catched her at
`(7)/(10)` of the distance

So, the distance at which she catched Amanda
`(7)/(10)* 19=13.33meter`

Ari catches 13.3 metres from 6 m marks

So the total distance = 13.33+6 =19.33 meters

So Ari catches up to Amanda at a distance of 19.33 meters