Question

train approaches a tunnel inside area cat is living at a point C the train and the cat are at equal distance P from A . When the train whistles is the cat run towards B if the train catches it exactly at B and the ratio of the speed of train to the cat is 7 ratio 3 the distance run by the cat is

Answer 1

Answer:

the speed = y/3x = 12x/3x = 4 : 1.

Answer 2

$\huge\boxed{\fcolorbox{red}{ink}{SOLUTION:}}$

$\huge\boxed{\fcolorbox{pink}{ink}{consider:}}$

• Let the train be at a distance y from A.
• Let the length of the tunnel AB be 8x.

$\color{magenta}\huge\mathfrak{  \text{H}ence \:   \: Proved}$

Therefore, the cat is at 3x from A.

$\huge\fbox\pink{✯By Condition✯}$

• Now both the conditions given in the questions assume the same time scenario.

$\huge\boxed{\fcolorbox{pink}{ink}{Therefore,}}$

• The ratio of the speeds of the cat and the train will be equal to the ratio of the distances traveled by them.

$\huge\boxed{\fcolorbox{purple}{ink}{:Required ratio}}$

• $y/3x = (y +8x)/5x$

• $y= 12x$

$\huge\bold\green{Therefore}$

• Ratio of the speed

• $= y/3x = 12x/3x =$

$\huge\boxed{\fcolorbox{red}{ink}{SOLUTION:}}$

$4 : 1$

$\huge\boxed{\dag\sf\red{Thanks}\dag}$