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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