the time, T, to travel a fixed distance varies inverselt with the rate , R , of travel , If T =4 and R=20 mi/hr, Find T when R=50 mi/hr

To find T when R = 50 mi/hr, we can use the equation that relates T and R for inverse variation:

T = k/R

We can solve for k by plugging in the values of T and R given:

4 = k/20

Multiply both sides by 20:

80 = k

Now we can use the value of k to find T when R = 50 mi/hr:

T = k/R

T = 80/50

T ≈ 1.6 hours