SOLUTION: What is your average velocity if you drive a distance of 464 km at a speed of 48 km/h, then the same distance at a speed of 68 km/h? Answer in units of km/h.
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Question 505639: What is your average velocity if you drive a distance of 464 km at a speed of 48 km/h, then the same distance at a speed of 68 km/h? Answer in units of km/h.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
What is your average velocity if you drive a distance of 464 km at a speed of 48 km/h, then the same distance at a speed of 68 km/h? Answer in units of km/h.
:
Let a = the average velocity
:
Write a time equation, time = dist/speed
:
+ =
+ =
Find the LCM of 48 and 68
48: 2*2*2*2*3
68: 2*2*17
LCM 2^4 * 3 * 17 = 816
:
Multiply by 272a
816a* + 816a* = 816a*
Cancel the denominators and you have
17a(464) + 12a(464) = 816(928)
7888a + 5568a = 757248
13456a = 757248
a =
a = 56.276 km/hr is the average velocity for the trip
:
:
You can confirm this by finding if the actual times add up
+ =
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