Awomen can hike 1 mph faster down a trail to archuletta lake than she can on the return trip uphill. it takes her 3 hr to get to the lake and 6 hr to return. what is her speed hiking down to the lake?

2 mph

Step-by-step explanation:

Her time ratio (3 : 6) is the inverse of her speed ratio — 6:3 = 2:1. The difference in ratio units, 2 - 1 = 1, corresponds to a difference in speed of 1 mi/h. That is, each ratio unit represents 1 mph. The number of ratio units representing her speed to the lake (2) must then represent 2 mph.

Consistency Check

If it takes her 3 h at 2 mi/h, the distance must be (3 h)×(2 mi/h) = 6 mi. Her speed uphill is 1 mph, so it takes her 6 h to go those 6 mi.

eve and marks ratios are equivalent

step-by-step explanation:

126.66 m²

step-by-step explanation:

the pertinent area formula is a = πr², where r is the radius.

here, a = π(6.35 m)² = 40.32π, or approximately 126.66 m²