SOLUTION: A bus traveled 560 km at a constant rate. A truck traveled the same distance 10km/hr faster than the bus in 1 hour less time. Find the constant rate of the bus. How long did it tak

Question 848229: A bus traveled 560 km at a constant rate. A truck traveled the same distance 10km/hr faster than the bus in 1 hour less time. Find the constant rate of the bus. How long did it take the truck to travel the 560km?
Answer by swincher4391(1107) (Show Source): You can put this solution on YOUR website!
Let x be the speed at which the bus is travelling. Let y be the time in which it took for the truck to travel the 560km.
distance = rate * time
(bus) 560 = x km/h * y+1 hours
(truck) 560 = (x+10) * y
560 = xy + x
560 = xy + 10y
xy+x = xy+10y
x = 10y

560 = 10y^2 + 10y
56 = y^2 + y
y^2 +y - 56 = 0
(y-7)(y+8) = 0
y = 7 (can't have y=-8)
x = 70
So the bus traveled 70 km/h.
And it took the truck 7 hours to travel the 560km.
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