MathCastle
Multivariable CalculusMediumLines & Planes in Space

Lines & Planes in Space · Medium problem

A probe starts at the point (2,1,0)(2,1,0), which lies on the plane 3x+4y=103x+4y=10 (check: 3(2)+4(1)=103(2)+4(1)=10). It flies at a constant speed of 33 m/s straight along the direction perpendicular to this plane, toward the parallel plane 3x+4y=553x+4y=55. After how many seconds does the probe reach the second plane?