Question

Two batsman a and b run towards each other and reaches the other end after crossing each other in 9 sec and 4 sec respectively. Find the ratio of speeds of a to b

Answer 1

Answer:

$s_1:s_2=4:9$

Step-by-step explanation:

Formula used:

$Speed=\frac{Distance}{Time\:taken}$

Let x be the given distance

speed of A:

$s_1=\frac{distance}{time\:taken}$

$s_1=\frac{x}{9}$

speed of B:

$s_2=\frac{distance}{time\:taken}$

$s_2=\frac{x}{4}$

Now,

$s_1:s_2$

$=\frac{x}{9}:\frac{x}{4}$

$=\frac{1}{9}:\frac{1}{4}$

$=\frac{36}{9}:\frac{36}{4}$

$=4:9$

$s_1:s_2=4:9$