A turtle walked [tex]\frac{1}{2}[/tex] mile at the rate of [tex]\frac{1}{5}[/tex] mile per hour. How long did it take?
Answer (3)
2.5 hours
you need half of five because its the overall speed in miles per hour and you went half, so you divide the top of the fraction by half of the bottom and voila, 2.5 hours.
s p ee d = t im e d i s t an ce ∣ m u lt i pl y b y t im e s p ee d ∗ t im e = d i s t an ce ∣ d i v i d e b y s p ee d t im e = s p ee d d i s t an ce d i s t an ce = 2 1 mi l e s p ee d = 5 h o u r 1 mi l e t im e = 5 h o u r 1 mi l e 2 1 mi l e = 2 1 mi l e ∗ 5 h o u r mi l e = 2 5 h o u r = 2 , 5 h I t w i ll t ak e 2 , 5 h o u rs .
The turtle took 2 hours and 30 minutes to walk 2 1 mile at a speed of 5 1 mile per hour. This is calculated using the time formula: time = distance/speed. By substituting and simplifying, we find the total time taken.
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