Question

A and B walk from one corner of rectangular field to the corner  just opposite A walks along diagonal and B walks along  the sides  reaching point together if  ratio of length and breadth is 3:4 then ratio of their speed

Answer 1

take length as 3x and breadth as 4x
so now use pythagoras theorem 
and u can find that length of diagonal is 5x
A and B take same time so
 distance travelled by A is 5x
distance travelled by B is 7x
so v1(5x)=v2(7x)
v1/v2=7/5
where v1 is the speed of A and v2 speed of B

Answer 2

The ratio of speeds of A and B is  5x:7x.

Step-by-step explanation:

Let us assume that the length and breadth of the rectangular field are 4x and 3x respectively.

Since the time taken by A and B to reach the other end of field is same regardless of distance, then their speed can be calculated by the formula:

Speed  = distance÷time

Let time by y.

The distance travelled by B= 3x+ 4x = 7x

The distance travelled by A = diagonal's length

Using Pythagoras theorem:

Diagonal = $\sqrt{L^{2}+ B^{2} }$

Diagonal =$\sqrt{4x^{2}+ 3x^{2} }$

Diagonal length=$\sqrt{16x^{2}+9x^{2} }$= 5x

Then, the speed of B who walks along the diagonal

Speed of A= 5x÷y

Then, the speed of A who walks along the sides.

Speed of B= 7x÷y

Thus the ratio of speeds of A and B= Speed of A: speed of B

= 5x÷y: 7x÷y

=5x÷7x

Ratios = 5x:7x

Result:

Thus the ratio of speeds of A and B is  5x:7x.

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