SOLUTION: A bus is traveling 15 mph slower than an 18 wheeler. In the time it takes the bus to travel 190 miles, the 18-wheeler travels 135 miles. Find the speed of both the bus and the 18-w

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Question 818988: A bus is traveling 15 mph slower than an 18 wheeler. In the time it takes the bus to travel 190 miles, the 18-wheeler travels 135 miles. Find the speed of both the bus and the 18-wheeler.
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
Speed of truck is r.

__________________speed_____________time____________distance
Bus_______________r-15______________(___)___________190
Truck_____________r_________________(___)___________135

We need time expressions for the equal time of both bus and truck:

__________________speed_____________time____________distance
Bus_______________r-15______________190/(r-15)___________190
Truck_____________r_________________135/r___________135

You should already sense a mistake in the given information. Equal time, the bus is slower but traveled more miles than the truck. This cannot be. You mixed-up some information.


LCD r(r-15)
or






Why should we allow ?

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