6AM a snowplow traveling at a constant speed begins to clear a highway leading out of town. At 8 AM a car begins traveling the highway at 35 mi/hr reaches the plow 20 minutes later. Fine the speed of the plow.

Question

studygurl14 · Answer

$$T_{s} = T_{c} - 2$$
(T = time, s = snowplow, c = car)
$$R_{c} = 35$$
(R = rate, c = car)
$$D_{s} = D_{c}$$
(D = distance, s = snowplow, c=car)

$$D_{s} = R_{s}T_{s}$$
$$D_{c} = R_{c}T_{c}$$

$$R_{s}T_{s} = R_{c}T_{c}$$

Plug in known values