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?

Guest Feb 18, 2020

#1**+2 **

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?

Omi67 Feb 18, 2020

#2**+1 **

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

CPhill Feb 18, 2020