Method: Here’s an easy method for questions like these, when you are looking at a triangle, look at the angle that’s away from the biggest line (if it’s a right triangle choose any angle), for this case angle W. Now count how many lines it takes to get to the big line, for the original triangle it’s 6 and for the new triangle it’s 4. Now since you have your numbers turn it into a fraction (new on top original on bottom), 4/6. Finally see what the answer is, for this case 4/6 is equal to 2/3, so there’s your answer.
The distance from the house to the lake is (2.5 hr)*(48 mi/hr) = 120 miles. The rerurn trip would take (120 mi)/(40 mi/hr) = 3 hours. Distance equals rate times time, so the distance to the lake is 2 1/2 hours times 48 miles per hour.
