If we place Kingston at (0,0) and Queensville at (0,160), then a time t from when Anthony left, the positions will be equal:
45t = 160-40(t - 1/4)
t = 2
So, they meet at 2:00+2 = 4:00 pm
Or, consider it like this. In the first 15 minutes, Anthony went 45/4 miles. The two cars are approaching each other at 85 mi/hr, so how long does it take to cover the remaining distance?
(160-45/4)/85 = 7/4
That is, they meet 7/4 hours after Helen started.
Anthony leaves kingstons at 2:00 pm and drives to queensville, 160mi distant, at 45 mph. At 2:15 pm Helen leaves queensville and drives to kingston at 40mph. At what time do they pass each other on the road?
1 answer