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.

Answer 1

Answer:

19 meters.

Explanation: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. Solution : The distance between 6 meters and 25 meters = 19 meters.

Answer 2

Given:

The total distance = 25 m

After swimming 6 meters, Ari catches up to Amanda in a ratio  = 7 : 3

To Find:

Ari's position when she catches up with Amanda

Solution:

The given question can be solved using the ratio principle.

Distance left after Ari swam 6m = 25-6 = 19m

Sum of the ratios = 7 + 3 = 10

Ari's ratio = 7 and Amanda's ratio = 3

Ari's position = (Ari's ratio / sum of ratio) × distance left

Substituting the values,

Ari's position = (7/10) × 19 = 13.3

Hence, Ari caught up with Amanda at the point 13.3 meters mark.