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Question

Express 'mile', in terms of kilometre. (1 mile = 1.760 yards, 1 yard = 36 inches and 1 inches = 2.54 cm).
[Note : Mile, yard and inch are practical units of length].

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Solution

To find, 1 mile =?.......... kilometre (km)
Given,
1 mile = 1.760 yards
and 1 yard = 36 inches
1 mile 1.760×36inches
1mile=1.760×36×2.54cm
(1inch=2.54cm)
1mile 1.760×36×2.54×102metre ......... (1)
1km=103metre ............ (2)
Dividing (1) by (2) we get
1mile1km
=1.760×36×2.54×102metre103metre
1mile=1.760×36×2.54×105km
1mile=1.6093×103km

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