Question

A goods train starts from station A to the station B and at the same time a passenger train starts from station B to station A. After meeting they reached their destination in 9 hours and4 hours respectively. Find the ratio of their speed.​

Answer 1

Answer:

680

Step-by-step explanation:

ANSWER

Solution:

Given Train starts at the same time.

Hence, Time remains constant.

Speed of Train 'T1' be 'S1' = 40 km\hr

Speed of Train 'T2' be 'S2' = 45 km\hr

Let X be the distance at which trains meet.

Train T2 travels X+40 km more than Train T1

According to the formula.

Speed=

Time

Distance

Time=

45

X+40

Time=

40

X

From above two equations.

40

X

=

45

X+40

45×X=40×X+40×40

5×X=1600

=320 km

Distance between two Stations = Distance at which train T1 meet + Distance at which Train T2 meet + Distance train T2 travels

= 320+320+40

= 680

Answer 2

• The ratio of speed of good trains to the passanger train is equal to 2 : 3 .

Given :- A goods train starts from station A to the station B and at the same time a passenger train starts from station B to station A. After meeting they reached their destination in 9 hours and 4 hours respectively.

To Find :- The ratio of their speeds ?

Formula used :-

• S(1) : S(2) = √T(2) : √T(1)
• S(1) = Speed of First Train.
• S(2) = Speed of Second Train.
• T(1) = After Crossing Each other Time taken by first Train to Reach opposite Point.
• T(2) = After Crossing Each other Time taken by second Train to Reach opposite Point.

Solution :-

Let us assume that, speed of goods train is equal to S(1) and speed of speed of passanger train is equal to S(2) .

So,

→ Ater meeting time taken by goods train to reach station B = 9 hours = T(1)

and,

→ Ater meeting time taken by passanger train to reach station A = 4 hours = T(2)

then, using above told formula we get,

→ S(1) : S(2) = √T(2) : √T(1)

→ S(1) : S(2) = √4 : √9

→ S(1) : S(2) = √(2)² : √(3)²

→ S(1) : S(2) = 2 : 3 (Ans.)

Note :- For proof of above told formula please refer to image . I have proved this formula .

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