On Monday Tom takes 15 minutes to walk one mile to school. On Tuesday he takes 20 minutes to walk the same distance. Calculate his speed in mph for each day's walk.
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Explanation:
7 Ratio and Proportion
7.1 Equivalent Ratios
Orange squash is to be mixed with
water in a ratio of 1 : 6; this means
that for every unit of orange squash,
6 units of water will be used. The
table gives some examples:
The ratios 1 : 6 and 20 : 120 and 5 : 30 are all equivalent ratios, but 1 : 6 is the
simplest form.
Ratios can be simplified by dividing both sides by the same number: note the
similarity to fractions. An alternative method for some purposes, is to reduce to the
form 1 : n or n : 1 by dividing both numbers by either the left-hand-side (LHS) or
the right-hand-side (RHS). For example:
the ratio 4 :10 may be simplified to 4
4
10
4
: ⇒ 1 : 2.5
the ratio 8 : 5 may be simplified to 8
5
5
5
: ⇒ 1.6 : 1
Example 1
Write each of these ratios in its simplest form:
(a) 7 : 14 (b) 15 : 25 (c) 10 : 4