At 9:00 a.m , Gwen leaves the Batavia and travels at a rate of 40mph . At 10:00 a.m. , Welch leaves Geneva at a rate of 60mph and travels towards Batavia. If the distance between Batavia and Geneva is 115 miles , at what time will Welch pass Gwen?
+12528 At 9:00 a.m , Gwen leaves the Batavia and travels at a rate of 40mph . At 10:00 a.m. , Welch leaves Geneva at a rate of 60mph and travels towards Batavia. If the distance between Batavia and Geneva is 115 miles , at what time will Welch pass Gwen?
+128474 Let the time that Welch travels = H hours
Let the time that Gwen travels ( H + 1) hours
So
Welch's Rate * Time traveled + Gwen's Rate * Time traveled = Total Combined Distance
60 H + 40 (H + 1) = 115 simplify
60 H + 40H + 40 =115
100H = 115 - 40
100 H = 75 divide both sides by 100
H = 75/100 = 3/4 hr
They meet at 10 AM + (3/4)hr = 10:45 AM
