Ryan and Janelle are each driving from a different location to meet.When they each stopped for lunch at 12 noon,they called each other on their cell phones.Ryan had traveled 245 miles in 3 1/2 hours.Janelle had driven 260 miles in 4 hours.If Ryan and Janelle were originally 910 miles apart when they had started driving that morning,at what time will they meet?
Accepted Solution
A:
They will meet at 3:00 p.m.
Since Ryan traveled 245 miles in 3.5 hours, he traveled at a speed of 245/3.5=70 mph. Janelle traveled 260 miles in 4 hours; she traveled at a speed of 260/4=65 mph.
Together, they had traveled 245+260=505 miles by noon. This leaves 910-505=405 miles to travel.
If Ryan stays at a constant rate of 70 mph, his distance is given by 70t. If Janelle stays at a constant rate of 65 mph, her distance is given by 65t. Their distances together equal 405: 70t+65t = 405
Combining like terms,
135t = 405
Divide both sides by 135: 135t/135 = 405/135 t = 3