CAT 5 minimum current for 25 meters

Hello friends..
I want to transmit 40 kHZ square wave signal from 89c51RD2 pin over a distance of 25-30 meters and drive an Infrared LED(it requires about 50-100mA current) with it. Is it feasible? What circuitry is recommended?
I propose using current amplifier first near the port pin increasing the current level to about 50 mA (voltage level is 4.4 V) , and then transmit the signal 30 meters using CAT 5 and finally ZTX601(darlingon pair) to drive the LEDs . Is it enough or too much ?
Is it possible to get rid of one of the two transistors I am using? What is the minimum current required to faithfully transmit 40kHz (4.4V peak) square wave through the CAT 5 cable for 30 meters to drive the LEDs using/without using the transistor?
Please shed some light!
Thank You!

No Ideas Friends?

To do it professionally I'll use MAX485 chips combining your micro.

You send 40Khz from micro to MAX485 "DI" pin & it will send the data via the two balanced lines.In receive side I'll take that two signal wires & input to MAX485 & take data out from "RO" pin & boost via a transistor.

See how neat is that?