A Car Leaves an Intersection Traveling West $4 \mathrm { sec }$

Multiple Choice

A car leaves an intersection traveling west. Its position $4 \mathrm { sec }$ later is $26 \mathrm { ft }$ from the intersection. At the same time, another car leaves the same intersection heading north so that its position 4 sec later is $26 \mathrm { ft }$ from the intersection. If the speeds of the cars at that instant of time are $12 \mathrm { ft } / \mathrm { sec }$ and 10 $\mathrm { ft } / \mathrm { sec }$ , respectively, find the rate at which the distance between the two cars is changing. Round to the nearest tenth if necessary.
Select the correct answer.

A) $\quad 15.6 \mathrm { ft } / \mathrm { sec }$
B) $3.7 \mathrm { ft } / \mathrm { sec }$
C) $3.1 \mathrm { ft } / \mathrm { sec }$
D) $36.8 \mathrm { ft } / \mathrm { sec }$