At top speed, a rabbit can cover 7 miles in 12 minutes. If a rabbit could continue at this rate indefinitely, how long would it take the rabbit to cross the 220-mile expanse of the Mojave Desert?

1 Answer
Lil Del
Oct 14, 2016

It would take the rabbit #2# days #14# hours and #5 1/7# minutes to cross the Mojave Desert.

Explanation:

Set up and solve a proportion, with each ratio being in the form #(mi)/(min)#.

#(7 mi)/(12 min) = (220 mi)/x#
#7x mi = 2640 mi*min#
#(7x mi)/(7 mi) = (2640 mi*min)/(7 mi)#
#x = 377 1/7 min#

#x = 377 1/7 min * (1 hr)/(60 min) = 62 hr 5 1/7 min#

Converting to days, hours, and minutes (divide the hours by #24#), gives us

#x = 2# days #14# hours #5 1/7# minutes

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