Two helicopters, H₁ and H₂, are traveling together. At time t = 0, they separate and follow different straight-line paths given by

Time t is measured in hours, and all coordinates are measured in miles. Due to system malfunctions, H₂ stops its flight at (446, 13, 1) and, in a negligible amount of time, lands at (446, 13, 0). Two hours later, H₁ is advised of this fact and heads toward H₂ at 150 mph. How long will it take H₁ to reach H₂?

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H₁: x = 6 + 40t, y = −3+ 10t, z = -3 + 2t H₂: x = 6 + 110t, y=-3 + 4t, z = −3+ t.