We have a direct variation. Distance, D, varies directly as time, t.
So D = Kt where K is the constant. In this case, speed. So D = Kt is our constant of variation.
If D = 150 miles and t = 4 hours
Then we have 150 = K (4)
K = 150/4 = 37.5. The constant of variation is 37.5.
If you keep traveling at a constant speed K = 37.5 and D = 200. We have
200 = 37.5 * t
t = 200/37.5 = 5.333 hours.
<h3>
Answer: 7.4 hours</h3>
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Explanation:
Add up the percentage values:
25+20+6+6+6 = 63
This means 63% of the trip was driven by anyone but Dan. That must mean 100-63 = 37% of the trip is how much Dan drove.
Apply this percentage to the 20 hour duration
37% of 20 = 0.37*20 = 7.4 hours represents how long Dan drove.
extra notes:
- 7.4 hours = 7 hours, 24 minutes because 0.4 hours = 0.4*60 = 24 minutes
- 7.4 hours = 7 hrs + 24 min = 7*60+24 = 444 minutes
