Question

The ratio of the heights of A and B is 4:3 . If B is 1.2 m tall , the the height of A is
A) 0.9 m
B) 1.8 m
C) 1.6 m
D) None of these

Answer 1

Hint:
As we are given the ratio of A and B it can be written as $\dfrac{A}{B} = \dfrac{4}{3}$and as we are given the value of B substituting it and simplifying we can obtain the value of A.

Complete step by step solution:
We are given that the ratio of A : B is 4:3
We can write this as $\dfrac{A}{B} = \dfrac{4}{3}$
We are given that B = 1.2 m
Substituting this in the above equation we get
$ \Rightarrow \dfrac{A}{{1.2}} = \dfrac{4}{3}$
Cross multiplying
$
   \Rightarrow 3A = 4 \times 1.2 \\
   \Rightarrow A = \dfrac{{4.8}}{3} = 1.6m \\
$

Hence we get that A is 1.6 m long.
The correct option is C.

Note:
We are given that the ratio of A:B is 4:3
Therefore A = 4x and B= 3x
We are given that B = 1.2
Equating we get
$\begin{gathered}
   \Rightarrow 1.2 = 3x \\
   \Rightarrow \dfrac{{1.2}}{3} = x \\
   \Rightarrow x = 0.4 \\
\end{gathered} $
Substituting the value of x in A we get
$ \Rightarrow A = 4(0.4) = 1.6m$