Step-by-step explanation:
it was measured that the south crawled 6cm in 1 second.
that gets expressed by the ratio
6 cm/sec or formally correct 6/1 cm/sec.
to get that speed in km/h (kilometers per hour), we need to transform the denominator of that ratio to 1 hour.
the only way we can manipulate a fraction or ratio without changing its value is by multiplying numerator and denominator (top and bottom) by the same factor.
like x/y × 3/3 = 3x/3y.
the driver behind a question of this kind is again the denominator. we want the denominator to appear as 1 hour.
so, what do I need to multiply 1 second with to get 1 hour ?
the problem definition tells us : 3600, as there are 3600 seconds in 1 hour.
so, we need to multiply
6/1 × 3600/3600 = (6×3600)/3600 = 21600/3600 =
21600cm/1 hour.
and now, how many km are 21600 cm ?
1 km = 100000 cm
so,
21600cm = 21600/100000 km = 0.216 km
therefore, or full answer is
the sloth's speed was 0.216 km/h
