An infrastructure equipment transmitting/receiving data to/from one or more communications devices in a wireless communications network, includes a transmitter, receiver, and controller controlling the transmitter and receiver to provide a wireless access interface providing communications resources arranged in time divided units of a system bandwidth providing plural blocks of communications resources, and one or more narrowband carriers. Each carrier provides, within a carrier frequency bandwidth, communications resources for allocation to narrow band communications devices, the carrier bandwidth being less than and within the system bandwidth, signals being transmitted to the narrowband communications devices via the narrow band carriers with a first power. The controller controls the transmitter to transmit signals on a down-link of a narrowband carrier to a narrow-band communications device with an increased power, power of the signals being increased to a greater second power to reduce a time of communicating a high priority message.