Final answer:
To find the location of the gym, we calculate the number of blocks in both directions between Ping's and Ari's homes and use an estimate of 100 meters per block. The gym is located 12 blocks north and 18 blocks east from Ping's home, at the intersection of 15th Street and 14th Avenue.
Step-by-step explanation:
To find the location of the gym, we need to calculate the distance between Ping's and Ari's homes. One city block is typically around 100 meters long, so we can use this as an estimate. Ping lives at the corner of 3rd Street and 6th Avenue, while Ari lives at the corner of 21st Street and 18th Avenue. We calculate the difference in the number of blocks in both directions:
- Number of blocks in the east-west direction = 21 - 3 = 18 blocks
- Number of blocks in the north-south direction = 18 - 6 = 12 blocks
Therefore, the gym will be located 12 blocks north and 18 blocks east from Ping's home, which corresponds to the intersection of 15th Street and 14th Avenue.