Distance to the farm is 24 miles
Explanation:
- Step 1: Let the speed of Peggy be x mph. Then the speed of Mike is x + 36 mph. Find the equation of distance for Mike and Peggy to the farm.
Time taken by Mike = 0.5 hr
Time taken by Peggy = 2 hrs
Distance is calculated by the equation Distance = Speed × Time
Distance traveled by Mike = (x + 36) × 0.5
Distance traveled by Peggy = x × 2
- Step 2: Equate the 2 distances of Mike and Peggy as they are the same and find x.
(x + 36) × 0.5 = 2x
0.5x + 18 = 2x
1.5 x = 18
⇒ x = 18/1.5 = 12 mph
- Step 3: Find the distance to the farm.
Distance to the farm = 2x = 24 miles