Question

Express '1 mile', in terms of kilometre. (1 mile = 1760 yards, 1 yard = 36 inches and 1 inches = 2.54 cm).
Note: Mile, yard, and inch ex-practical unit of length].

• A. 1.6
• B. 1
• C. 0.16
• D. None of the above

Answer 1

Answer: (A)

1.6

Given : $1mile=1760yards$, $1yard=36inches$, $1inch=2.54cm$

We know that $1cm={10}^{-2}m$ and $1m={10}^{-3}km$

So, $1mile=1mile\times \frac{1760yards}{1mile}\times \frac{36inches}{1yard}\times \frac{2.54cm}{1inch}\times \frac{{10}^{-2}m}{1cm}\times \frac{{10}^{-3}km}{1m}$

$⟹1mile=1760\times 36\times 2.54\times {10}^{-2}\times {10}^{-3}km=1.6km$