SOLUTION: The average speed of a moving van is 24 km/h faster than that of a delivery truck. If the van travels the same distance in 5h as the truck travels in 7 h, find the average speed of
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Question 230314: The average speed of a moving van is 24 km/h faster than that of a delivery truck. If the van travels the same distance in 5h as the truck travels in 7 h, find the average speed of each. Answer by drj(1380) (Show Source):
You can put this solution on YOUR website! The average speed of a moving van is 24 km/h faster than that of a delivery truck. If the van travels the same distance in 5h as the truck travels in 7 h, find the average speed of each.
Step 1. Let x be the speed of the delivery truck
Step 2. Let x+24 be the speed of the moving van since it travels 12 km/h faster than the truck.
Step 3. We note that distance=speed*time.
Step 4 Let 7x be the distance traveled by the delivery truck for 7 hours.
Step 5. Let 5(x+24) be the distance traveled by the moving van for 5 hours.
Step 6. Step the expressions in Steps 4 and 5 to be equal since the distance traveled by the truck and van are equal.
Step 7. Solving yields the following steps
Subtract 5x from both sides of the equation
Divide by 2 to both sides of the equation
and .
Check if the distances are the same
which is a true statment.
Step 7. ANSWER: The delivery truck is traveling at 60 km/hr and the moving van is traveling at 84 km/hr.
I hope the above steps were helpful.
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