SOLUTION: A biker traveling at his usual speed can go from his house to work in 4 hours. When the weather is bad, he travels 6 miles per hour slower, and it takes him half an hour more. How
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Question 1014642: A biker traveling at his usual speed can go from his house to work in 4 hours. When the weather is bad, he travels 6 miles per hour slower, and it takes him half an hour more. How far is his work from his house?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A biker traveling at his usual speed can go from his house to work in 4 hours.
When the weather is bad, he travels 6 miles per hour slower, and it takes him half an hour more.
How far is his work from his house?
:
let d = the distance from his house
From the information we can say "He takes 4hr normally, but 4.5 hrs in bad weather"
:
Write a speed equation; speed = dist/time
:
normal speed - slower speed= 6 mph
- = 6
multiply equation by 36 to get rid of the denominators
36* - 36* = 36(6)
Cancel the denominators
9d - 8d = 216
d = 216 mi to his house
:
:
See if that checks out, find the actual speeds
216/4 = 54 mph
216/4.5= 48 mph
----------------
difference 6 mph
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