Yes of course, our system is 100% suitable.
The flow would be something like
1. Admin can setup the zones that are covered by the laundry business. This is done with geolocation google api, so it will fit 100% your needs. You can setup the services of the laundry on the backend also, by this I mean, maybe is a different cost for 1KG and for 5KG, that can be setup so it will adapt perfect to your business, this setup is done as products.
2. The user will search and with the geolocation the system will detect if the user is on the delivery zone. If yes then the businesses that have service will display for the user and the user can select the business and proceed with the order.
3. The laundry will receive the order and confirm, a driver can optionally be assigned so the user can track the driver via geolocation.
Please let me know if this is clear, We will be more than happy to explain anything else if needed.
Please check this live laundry busines running in India.