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

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.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Good luck in your studies!

Respectfully,
Dr J

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