Answer:
a. Jacques will be 46.4m below the surface and his assistant will be 78.1m below the surface.
b. 10 minutes
c. 6 minutes
Step-by-step explanation:
Let the equation for Justin's motion be J(x)=-13.9-7.5x (where J(x) is his distance from the surface in metres and x is time in minutes), because he starts off 13.9m below the surface and descends 7.5m every minutes.
Let the equation for the assistant be a(x)=-97.3=+6.4x (where a(x) is his distance from the surface in metres and x is time in minutes), because he starts off 97.3m below the surface and ascends 6.4m every minutes.
a.
J(x)=-13.9-7.5x
J(3)=-13.9-7.5(3)=-13.9-22.5=-36.4
a(x)=-97.3=+6.4x
a(3)=-97.3+6.4(3)=-97.3+19.2=-78.1
b.
a(x)=-97.3=+6.4x
-33.3=-97.3=+6.4x
64=6.4x
x=10
c.
when divers are at the same depth, J(x)=a(x)
J(x)=a(x)
-13.9-7.5x=-97.3=+6.4x
83.4=13.9x
x=6
