Sachin daily goes to school on his bicycle and the distance between his home and the school is 7 km. After school time. he directly goes to a gym from the school. The distance from the school to the gym is 3 km. From gym, he goes to a market. The distance between the gym and the market is 2 km. The distance between the market and his home is 2.5 km.
What is the distance between his home and the gym through shortest route?

Home to School: 7 km

School to Gym: 3 km

Gym to Market: 2 km

Market to Home: 2.5 km

There is no direct distance given from Sachin's home to the gym.

Route 1 (via school):
Home to School + School to Gym=7+3=10 

Route 2 (via market):
Home to Market + Market to Gym=2.5+2=4.5 km

The distance from Home → Market → Gym is 4.5 km, which is shorter than the route via school.

Final Answer: A. 4.5 km