SOLUTION: a loaded moving truck is travelling with an average speed that is 20 km/hr faster than a freight train. in the time it takes the train to travel 120 km, the truck travels 200 km. f
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Question 1195719: a loaded moving truck is travelling with an average speed that is 20 km/hr faster than a freight train. in the time it takes the train to travel 120 km, the truck travels 200 km. find the speed of the truck Found 2 solutions by ikleyn, greenestamps:Answer by ikleyn(52803) (Show Source):
You can put this solution on YOUR website! .
a loaded moving truck is travelling with an average speed that is 20 km/hr faster
than a freight train. in the time it takes the train to travel 120 km,
the truck travels 200 km. find the speed of the truck
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Let v be the speed of the moving truck, in kilometers per hour.
Then the speed of the freight train is (x-20) km/h.
Next, the problem gives you this equation
= .
Left side of this equation is the time traveling by the freight train, in hours.
Right side of this equation is the time traveling by the moving truck, in hours.
To solve this equation, first cross multiply
120v = 200*(v-20).
Next simplify it step by step
6v = 10(v-20)
6v = 10v - 200
200 = 10v - 6v
200 = 4v
v = 200/4 = 50.
ANSWER. The moving truck speed is 50 km per hour.
CHECK. = 4 hours. = = 4 hours, the same time. ! Correct !
