Indira and jean begin their hike at 10 am. One morning, they plan to hike from 2 2/5 mile marker to the 8 1/10 mile marker aling the trail.

The distrance to be travelled is 8/10 - 2/25 therefore:

Total dlistance = 81/10 - 12/5

add using least common denominator:

Total distance = 81 - 12 x 2

10

evaluate: Total distance = 57/10 = 5.7

according to the given information if they travel at a speed of 3 miles per house and there are 12-10 = 2 hours, so the distance travelled to noon will be 2x = 6 miles - 5.7 miles. This implies that they will be able to reach the 8 1/10 mark by noon.