Solve the Problem $\frac { 175 } { 4 } \mathrm { mph }$

Multiple Choice

Solve the problem.
-The speed of a vehicle is inversely proportional to the time it takes to travel a fixed distance. If a vehicle travels a fixed distance at 35 miles per hour in 40 minutes, how fast must it travel to cover the same distance in 50 minutes?

A) $\frac { 175 } { 4 } \mathrm { mph }$
B) $\frac { 4 } { 175 } \mathrm { mph }$
C) 28 mph
D) $\frac { 400 } { 7 } \mathrm { mph }$