Answered

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The time (t) it takes to travel from north Vancouver to Hope varies as the speed (v) at which ane travels. if it takes 1.5 hours to travel this distance at an average speed of 120 km/h, find the constant k andd the amount of time it would take to drive back if you were only able to tracel at 60 km/ h due to an engine problem.
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Sagot :

Mistyglam14idn

Answer:

k = 180

t = 3 hours

Step-by-step explanation:

A.

Given: Time(t) = 1.5 hours , Speed(v) = 120 km/h

Find: Constant(k) of variation [inverse].

t = [tex]\frac{k}{v}[/tex]

[tex]\frac{1.5}{1} = \frac{k}{120}[/tex]

k = 180

The constant of variation is equal to 180.

B.

Given: Speed(v) = 60 km/h , Constant(k) = 180

Find: Time(t) it would take to drive back.

t = [tex]\frac{k}{v}[/tex]

t =  [tex]\frac{180}{60}[/tex]

t = 3

Therefore, the amount of time it would take to drive back if you were only able to travel at 60 km/ h due to an engine problem is 3 hours.

Hope this helps.

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