SOLUTION: The speed s of a vehicle is inversely proportional to the time t it takes to travel a fixed distance. If a vehicle travels a fixed distance at 10 miles per hour in 45 minutes, how
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Question 759848: The speed s of a vehicle is inversely proportional to the time t it takes to travel a fixed distance. If a vehicle travels a fixed distance at 10 miles per hour in 45 minutes, how fast mist it travel to cover the same distance in 30 mintues?
15 mph
3/20 mph
20/3 mph
135 mph
Thanks for your help
Found 2 solutions by Cromlix, josmiceli:
Answer by Cromlix(4381) (Show Source): You can put this solution on YOUR website!
speed S is inversely proportional to the time t
S = k/t
Where k is constant of proportionality.
To find k use given information:
S = k/t
10 = k/0.75
k = 0.75 * 10
k = 7.5
Your formula:
S = 7.5/t
using formula:-
S = 7.5/t
S = 7.5/0.5
S = 15 mph
Hope this helps.
:-)
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
I can say
given:
and
( I'm calling the unknown speed )
--------------------
In this case, , which is the constant of
proportionality, turns out to be since
also
-------------------
(1)
(1)
(1)
and
(2)
(2)
(2)
The answer is 15 mph
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