Wednesday, February 8, 2012

How long will it take me to travel a mile?

I can take eight steps every five seconds. Each step i travel 17 inches (so I guess you could say I travel 136 inches every five sceonds right?)

At this rate whats a good estimate for how long I should be able to travel a mile?How long will it take me to travel a mile?This is a problem in converting units Your speed is given by



8steps/5sec * 17 inches/step = 136inches/5sec



The general equation for distance in terms of speed is displacement = speed*time. So what you are looking for is an equation in comparable units that you can solve for time. We will need a conversion factor to express 1 mile in inches or your speed in feet/sec.



5280feet = (136inches/5sec)*(1foot/12inches)*t



5280feet = (2.266667feet/sec)t OR



5280sec/(2.26667) = t (notice that the feet cancel out leaving seconds)



t = 2329.41 seconds (If you prefer minutes or hours, just divide by 60 or 3600 respectively).



t = 38.823 minutes or 0.647 hoursHow long will it take me to travel a mile?Length of time in seconds:

= 5(63,360/[8 * 17])

= 5(7,920/17)

= 39,600/17 or 2,329 12/17



Answer: 2,329 12/17 seconds or roughly 2,330 seconds



In minutes and seconds:

= 660/17 or 38 14/17 min

= 38 min %26amp; 49 7/17 secHow long will it take me to travel a mile?136 inches in 5 seconds

1 inch in 5/136 seconds

1 mile = 63,360 inches

(63,360)(5/36) seconds

1 mile in 8,800 seconds

1 mile in 8800 seconds = 2.44444444 hours

2 hours 26 minutes 38 secondsHow long will it take me to travel a mile?
1 mile=63360 inches

1 step=17inch

8steps=17*8=136inch

each inch u travel=5/136 secs



so time to take 1 mile=63360*(5/136)=2329.41secs=2329 secs approx
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