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QUESTION

What is 75 miles per hour in kilometers per second?

##0.0335## ##(km)/h##

We need to convert ##75## ##(mi)/h## into ##(km)/h##

Cancel the hours in the denominator

##rarr75 (mi)/h*(1h)/(3600s)##

(as ##1## hour is ##3600s##)

##rarr75 (mi)/cancelh*cancel(1h)/(3600s)##

##rarr75 (mi)/(3600s)##

Cancel the miles in the numerator

##rarr75 (mi)/(3600s)*(1.609km)/(1m)##

(as ##1## mile is ##1.609km##)

##rarr75 cancel(mi)/(3600s)*(1.609km)/cancel(1mi)##

##rarr75 (1.609km)/(3600s)##

##color(green)(rArr0.0335(km)/s##

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