Question

the length of train B is 30 m less than that of train A . the ratio of speed of A and B is 3:2 . the ratio between time is cross an electric pole by A and B is 3:4 . what is the sum of the length of two train​

Answer 1

AnswEr :

• Ratio of Speed of Trains A : B = 3 : 2

• Ratio of Time of Trains A : B = 3 : 4

⋆ Distance = Speed × Time

• Let's Head to the Question Now :

⇒ Distance of A : Distance of B

⇒ Speed × Time : Speed × Time

⇒ 3 × 3 : 2 × 4

⇒ 9 : 8

Let the Distance travelled by Train A be 9x, and Distance travelled by Train B be 8x.

_______________________________

• According to the Question Now :

⇒ Train B = 30 m less than Train A

⇒ Train B = Train A - 30 m

⇒ 8x = 9x - 30 m

⇒ 8x - 9x = - 30 m

⇒ - x = - 30 m

• Cancellation of Negative

⇒ x = 30 m

━━━━━━━━━━━━━━━━━━━━━━━━

• S U M ⠀O F ⠀L E N G T H S :

↠ Total Length = Train A + Train B

↠ Total Length = 9x + 8x

↠ Total Length = 9(30) + 8(30)

↠ Total Length = (270 + 240) m

↠ Total Length = 510 m

∴ Sum of length of Trains will be 510 m.

#answerwithquality #BAL

Answer 2

$\large\underline\mathfrak\red{Answer-}$

Sum of length of two trains = 510 m

$\large\underline\mathfrak\red{Explanation-}$

Let the first train be A and second one be B.

Ratio of their speed = 3 : 2

Ratio of their time = 3 : 4

We know that,

$\boxed{\underline{\red{Distance=speed×time}}}$

Let's find the ratios of their distances :

$\leadsto$ Distance of A : Distance of B

$\leadsto$ [ Speed of A × Time of A ] : [ Speed of B × Time of B ]

$\leadsto$ [ 3 × 3 ] : [ 2 × 4 ]

$\leadsto$ 9 : 8

Therefore, the ratio of their distances is = 9 : 8

________________

Let's suppose the distance travelled by train A is 9x and distance travelled by train B is 8x.

$\bold{\sf{\green{According\:to\:the\:question-}}}$

• The length of train B is 30 m less than that of train A.

$\leadsto$ 8x = 9x - 30

$\leadsto$ 8x - 9x = - 30

$\leadsto$ $\cancel{-}$ x = $\cancel{-}$ 30

$\huge\boxed{\purple{x=30}}$

Now, we have to find the sum of lenghs of both trains.

$\boxed{\sf{\red{Sum\:of\:lengths=Length\:of\:train\:A+Length\:of\:train\:B}}}$

$\leadsto$ 9x + 8x

$\leadsto$ ( 9 × 30 ) + ( 8 × 30 )

$\leadsto$ 270 + 240

$\leadsto$ 510 m

Hence, the sum of lengths of two trains is 510 m.

_______________________

#answerwithquality

#BAL