Answer:
1. Option D
2. Option C
3. Option B
4. Option D
5. Option D
6. Option A
Step-by-step explanation:
1. From the figure attached we take kitchen A (triangle A),
Distance between stove and sink = 16 feet
Distance covered in 15 trips = 16×15 = 240 feet
Distance between stove and fridge = 16 feet
Distance covered in 5 trips = 16×5 = 80 feet
Distance between sink and fridge = 22 feet
Distance covered in 10 trips = 22×10 = 220 feet
Total distance covered to prepare a meal = 240 + 80 + 220 = 540 feet
Option D is correct.
2. Now we take kitchen B ( triangle B)
Distance between stove and sink = 16 feet
Distance covered in 15 trips = 16×15 = 240 feet
Distance between stove and fridge = 16 feet
Distance covered in 5 trips = 16×5 = 80 feet
Distance between sink and fridge = 16 feet
Distance covered in 10 trips = 16×10 = 160 feet
Total distance covered to prepare a meal = 240 + 80 + 160 = 480 feet
Option C. is correct.
3. For kitchen C.
Distance between stove and sink = 15 feet
Distance covered in 15 trips = 15×15 = 225 feet
Distance between stove and fridge = 15 feet
Distance covered in 5 trips = 15×5 = 75 feet
Distance between sink and fridge = 22 feet
Distance covered in 10 trips = 22×10 = 220 feet
Total distance covered to prepare a meal = 225 + 75 + 220 = 520 feet
Option B. is correct.
4. If cook covers 18 inch in one step then we have to find the steps covered in triangle A.
520 feet = 520×12 = 6240 inches
Since 18 inch = 1 step
Then 6240 inches = [tex]\frac{6240}{18}=346.67[/tex]
≈ 347 steps
Option D. is correct
5. Distance covered by the cook in triangle B = 480 feet
since 1 feet = 12 inches
Therefore, 480 feet = 12×480 = 5760 inches
Now 18-inch steps = [tex]\frac{5760}{18}[/tex]
= 320 steps
Option D. is correct
6. Distance covered by the cook in triangle C = 520 feet
since 1 feet = 12 inches
Therefore, 520 feet = 12×520 = 6240 inches
Now 18-inch steps in 6240 inches = [tex]\frac{6240}{18}=346.67[/tex]
≈ 347 steps
Option A. is correct.
