Cars P and Q are approaching each other on the same highway.

Cars P and Q are approaching each other on the same highway. Car P is moving at 46 mph northbound and Car Q is moving at 54 mph southbound. At 2:00 pm, they are approaching each other and 190 miles apart. Eventually they pass each other. At what clock time are they moving away from each other and 35 miles apart?

Quiz

Answer/Solution

4:15 pm

Steps/Work

Total distance, which should be covered by both cars is 190+35=225 miles.
Let t be the time so the equation will be 46t+54t=225 thus,
t=2.25 hours
Answer: D