Question #df5ae

1 Answer
sente
Aug 29, 2016

Approximately #0.1819# miles.

Explanation:

We are given the snail's speed in meters per hour #("m"/"hr")# and want it in miles per day (#"mi"/"d"#). Thus, we need to convert meters to miles and hours to days. To do so, we will use the following conversions:

  • #1 "mi" = 1609.344"m"#
  • #1 "d" = 24 "hr"#

We will use these to cancel the units we don't want and be left with the ones we do.

#(12.2color(blue)(cancel("m")))/(1color(red)(cancel("hr")))xx(1"mi")/(1609.344color(blue)(cancel("m")))xx(24color(red)(cancel("hr")))/(1"d")#

#=(12.2xx24)/(1609.344)("mi")/("d")#

#~~0.1819("mi")/("d")#

Thus the snail travels approximately #0.1819# miles in one day.

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