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) $\frac { 400 } { 7 } \mathrm { mph }$

Question

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) $\frac { 400 } { 7 } \mathrm { mph }$

Quizplus · Accepted Answer

The speed is inversely proportional to time, so $ v_1 \times t_1 = v_2 \times t_2 $. Given $ v_1 = 35 $ mph and $ t_1 = \frac{40}{60} $ hours, solve for $ v_2 $ when $ t_2 = \frac{50}{60} $ hours. $ 35 \times \frac{40}{60} = v_2 \times \frac{50}{60} $. Solving gives $ v_2 = 28 $ mph.

Solve the Problem 1754mph\frac { 175 } { 4 } \mathrm { mph }4175​mph

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