How long will it take the same crew to clear the entire plot of 2 1/2 acres?

1. 15 days

2. 0.17 acre.

Step-by-step explanation:

1. Determination of the number of days.

From the question given above,

The crew clears ⅓ acre of land in 2 days.

Therefore, the crew will clear 2½ acres in = (2½ × 2) / ⅓

= (5/2 × 2) × 3

= 15 days

Thus, the crew will clear 2½ acres in 15 days

2. Determination of the acre of land.

From the question given above,

The crew clears ⅓ acre of land in 2 days.

Therefore, the crew will clear X acre of land in 1 day i.e

X acre of land = ⅓ ÷ 2

X acre of land = ⅓ × ½

X acre of land = 1/6

X acre of land = 0.17 acre

Thus, the crew will clear 0.17 acre of land in 1 day

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4