Question

a small turtle moves at a speed of 658 furlongs per fortnight. find the speed of the turtle in centimeters per second. note that 1 furlong = 220 yards and 1 fortnight = 14 days.

Explanation:

Step1: Convert furlongs to yards

We know that 1 furlong = 220 yards, and the turtle's speed is 658 furlongs per fortnight. So first, we convert furlongs to yards. The number of yards per fortnight is $658\times220$ yards.
$658\times220 = 144760$ yards per fortnight.

Step2: Convert yards to centimeters

We know that 1 yard = 91.44 centimeters. So we convert the yards per fortnight to centimeters per fortnight.
$144760\times91.44$ centimeters per fortnight.
$144760\times91.44 = 144760\times(90 + 1.44)=144760\times90+144760\times1.44 = 13028400+208454.4 = 13236854.4$ centimeters per fortnight.

Step3: Convert fortnight to seconds

We know that 1 fortnight = 14 days, 1 day = 24 hours, 1 hour = 3600 seconds. So first, find the number of seconds in a fortnight.
Number of seconds in 14 days: $14\times24\times3600$ seconds.
$14\times24 = 336$ hours, $336\times3600 = 1209600$ seconds per fortnight.

Step4: Calculate speed in cm/s

Now, to find the speed in centimeters per second, we divide the number of centimeters per fortnight by the number of seconds per fortnight.
Speed $=\frac{13236854.4}{1209600}\approx10.94$ cm/s.

Answer:

$\approx10.94$