A, B, and C start climbing from the foot of the mountain at the same time, and descend immediately after reaching the top of the mountain, moving back and forth continuously. It is known that the hillside is 360 meters long, the speed ratio of A, B, and C is 6:5:4, and the descending speeds of A, B, and C are all 1.5 times their respective ascending speeds. After a period of time, when A reaches the top of the mountain, he sees that B is going down the mountain. At this time, B is less than 180 meters away from the foot of the mountain (B is not at the foot of the mountain). Find the distance from C to the top of the mountain at this time.
甲、乙、丙同时从山脚开始爬山，到达山顶后立即下山，不断往返运动．已知山坡长360米，甲、乙、丙的速度比为6：5：4，并且甲、乙、丙的下山速度都是各自上山速度的1.5倍．经过一段时间后，甲到达山顶时，看见乙正在下山，此时乙距离山脚不到180米(乙不在山脚)．求此时丙离山顶的距离．
<result>40</result>