According to one embodiment, a measurement system includes a wireless relay device (10), a moving-object-mounted terminal (20) and a data processor (30). The moving-object-mounted terminal (20) is mounted to a moving object within a wireless area formed by the wireless relay device (10). The moving-object-mounted terminal (20) includes a Global Positioning System (GPS) unit (21) and a wireless unit (22). The GPS unit (21) acquires positional data of the moving object and time data indicating the time when the positional data has been acquired by GPS. The wireless unit (22) converts the positional data and the time data into a wireless signal, and transmits the wireless signal to the wireless relay device (10). The data processor (30) receives the wireless signal from the moving-object-mounted terminal (20) via the wireless relay device (10), and calculates time required for the moving object to move a predetermined distance.