Question

An antelope can run a speed of 61 miles per hour. What is this speed in yards per second? Round to the nearest hundredth

Answer 1

Answer:

= 29.82 yards/second

Step-by-step explanation:

The speed is given in the problem.  We just need to convert its units.  The multiplicative identity (that is, 1) may be used to change the units without changing the value.  (note:  do you know what the additive identity is?)

     61 miles per hour

    (61 miles) / (1 hour)

   (61 miles)/(1 hour)*1

   ((61 miles)/(1 hour))*((5280 feet)/(1 mile))

   ((61 miles)/(1 hour))*((5280 feet)/(1 mile))*((1 yard)/(3 feet))*((1 hour)/(60 minutes))*((1 minute)/(60 seconds))

      note:  miles, feet, hours, minutes cancel out; leaving yards per second

    (61/1)*(5280/1)*(1/3)*(1/60)*(1/60)   yards/second          (note: I write that way to paste into Excel)