SOLUTION: How many seconds to run 100 yards at 8 mph?

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Question 881915: How many seconds to run 100 yards at 8 mph?
Found 2 solutions by ewatrrr, Edwin McCravy:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
8mph = 8%2A5280%2F3600 = 11.7333ft/sec
300ft%2F%2811.733ftpsec%29 = 25.6 sec

Answer by Edwin McCravy(20059) About Me  (Show Source):
You can put this solution on YOUR website!
How many seconds to run 100 yards at 8 mph?

matrix%281%2C3%2C%0D%0A+%0D%0ATIME%2C+%22%22=%22%22%2C+%22DISTANCE%22%2F%22RATE%22%29

But we must convert 8 miles per hour to yards per second

matrix%281%2C2%2C8%2CMILE%2FHOUR%29

To get from miles to yards we go from miles to feet to yards.

To get from hours to seconds, we go from hours to minutes to seconds.

To go from miles to feet we multiply by 5280_FEET%2F1_MILE

so the mile in the bottom will cancel with the mile in the top:

matrix%281%2C2%2C8%2CMILE%2FHOUR%29%22%D7%225280_FEET%2F1_MILE

To go from hours to minutes we multiply by 1_HOUR%2F60_MINUTE

so the hour in the top will cancel with the hour in the bottom:

matrix%281%2C2%2C8%2CMILE%2FHOUR%29%22%D7%225280_FEET%2F1_MILE%22%D7%221_HOUR%2F60_MINUTE

To go from feet to yards we multiply by 1_YARD%2F3_FEET

so the feet in the bottom will cancel with the feet in the top

matrix%281%2C2%2C8%2CMILE%2FHOUR%29%22%D7%225280_FEET%2F1_MILE%22%D7%221_HOUR%2F60_MINUTE%22%D7%221_YARD%2F3_FEET

To go from minutes to seconds we multiply by 1_MINUTE%2F60_SECOND

so the minutes in the top will cancel with the minutes in the nottom.

matrix%281%2C2%2C8%2CMILE%2FHOUR%29%22%D7%22matrix%281%2C2%2C5280%2CFEET%29%2Fmatrix%281%2C2%2C1%2CMILE%29%22%D7%22matrix%281%2C2%2C1%2CHOUR%29%2Fmatrix%281%2C2%2C60%2CMINUTE%29%22%D7%221_YARD%2F3_FEET%22%D7%221_MINUTE%2F60_SECOND

We cancel the unit MILE

matrix%281%2C2%2C8%2Ccross%28MILE%29%2FHOUR%29%22%D7%22matrix%281%2C2%2C5280%2CFEET%29%2Fmatrix%281%2C2%2C1%2Ccross%28MILE%29%29%22%D7%22matrix%281%2C2%2C1%2CHOUR%29%2Fmatrix%281%2C2%2C60%2CMINUTE%29%22%D7%221_YARD%2F3_FEET%22%D7%221_MINUTE%2F60_SECOND

We cancel the unit HOUR

matrix%281%2C2%2C8%2Ccross%28MILE%29%2Fcross%28HOUR%29%29%22%D7%22matrix%281%2C2%2C5280%2CFEET%29%2Fmatrix%281%2C2%2C1%2Ccross%28MILE%29%29%22%D7%22matrix%281%2C2%2C1%2Ccross%28HOUR%29%29%2Fmatrix%281%2C2%2C60%2CMINUTE%29%22%D7%221_YARD%2F3_FEET%22%D7%221_MINUTE%2F60_SECOND

We cancel the unit FEET

matrix%281%2C2%2C8%2Ccross%28MILE%29%2Fcross%28HOUR%29%29%22%D7%22matrix%281%2C2%2C5280%2Ccross%28FEET%29%29%2Fmatrix%281%2C2%2C1%2Ccross%28MILE%29%29%22%D7%22matrix%281%2C2%2C1%2Ccross%28HOUR%29%29%2Fmatrix%281%2C2%2C60%2CMINUTE%29%22%D7%221_YARD%2Fmatrix%281%2C2%2C3%2Ccross%28FEET%29%29%22%D7%22matrix%281%2C2%2C1%2CMINUTE%29%2F60_SECOND

We cancel the unit MINUTE

matrix%281%2C2%2C8%2Ccross%28MILE%29%2Fcross%28HOUR%29%29%22%D7%22matrix%281%2C2%2C5280%2Ccross%28FEET%29%29%2Fmatrix%281%2C2%2C1%2Ccross%28MILE%29%29%22%D7%22matrix%281%2C2%2C1%2Ccross%28HOUR%29%29%2Fmatrix%281%2C2%2C60%2Ccross%28MINUTE%29%29%22%D7%221_YARD%2Fmatrix%281%2C2%2C3%2Ccross%28FEET%29%29%22%D7%22matrix%281%2C2%2C1%2Ccross%28MINUTE%29%29%2F60_SECOND

matrix%281%2C2%2C8%2A5280%2CYARDS%29%2Fmatrix%281%2C2%2C60%2A3%2A60%2CSECOND%29

matrix%281%2C2%2C42240%2CYARDS%29%2Fmatrix%281%2C2%2C10800%2CSECOND%29

matrix%281%2C2%2C176%2CYARDS%29%2Fmatrix%281%2C2%2C45%2CSECOND%29

matrix%281%2C3%2C%0D%0A+%0D%0ATIME%2C+%22%22=%22%22%2C+%22DISTANCE%22%2F%22RATE%22%29







Cancel the YARDs




100%2A45%2F176SECOND

25.568 SECONDS

Edwin

Edwin