time = distance / rate
460 / x = [130 / (x - 10)] + 3
460 x - 4600 = 130 x + 3 x^2 - 30 x
3 x^2 - 360 x + 4600 = 0
solve for x ... use the quadratic formula
the larger solution is the correct one
Hannah and Jenna are both travelling to a volleyball tournament in Grande Prairie, and leave at the same time. Hannah’s parents drive her from Edmonton to Grande Prairie, a distance of 460 km. Jenna’s team takes a bus from Dawson Creek, BC to Grande Prairie, a distance of 130 km. Hannah’s parents’ vehicle travels 10 km/h faster than Jenna’s, and Jenna arrives at the tournament 3 hours earlier than Hannah. Determine how fast Hannah’s parents are driving
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