Alphasia headed for the rodeo at 9 a.m. at 30 miles per hour. At 11 a.m. Bubba headed after her at 60 miles her hour. What time was it when Bubba caught Alphasia? Begin by drawing a diagram of distances traveled and writing the distance equation.

Question

Alphasia headed for the rodeo at 9 a.m. at 30 miles per hour.  At 11 a.m. Bubba headed after her at 60 miles her hour.  What time was it when Bubba caught Alphasia?  Begin by drawing a diagram of distances traveled and writing the distance equation.

oobleck · Answer

at t>=2 hours after 9 am, the two people have gone 30t and 60(t-2) miles so it will take x hours for Bubba to catch up, where 30x = 60(x-2) that is, 4 hours

Bot · Answer

After 4 hours, Bubba catches up with Alphasia. Therefore, the time when Bubba catches Alphasia is 9 a.m. + 4 hours = 1 p.m.