Two girls move in opposite directions, one from A to B and other from

1.	Two girls move in opposite directions, one from A to B and other from B to A. The girl from A reaches the destination in 16 hrs and girl from B reaches her destination in 25 hrs, after having met. If former's speed is 25 km/hr, what will be the speed of latter?
Answer» The speed of the latter is 20 km/h Step-by-step explanation: Let the speed of the girl going from B to A be v km/hr The DISTANCE between A to B = AB Let the girl from A has travellevd distance = d before meeting the girl from B According to the question Girl from A takes 16 hours and girl from B takes 25 hours after they meet to reach their destination Speed of girl from A = 25 km/hr Using Distance = Speed × Time $AB-d={25}\times{16}$ Again $d=25\times v$ Dividing both we get $\frac{AB-d}{d}=\frac{25\times 16}{25\times v}$ $\implies \frac{AB}{d}-1=\frac{16}{v}$ ....... (1) If they meet after time t Then in time t, the girl from A has travelled distance = d And the girl from B has travelled distance = AB - d Thus $d=25\times t$ And $AB-d=v\times t$ From the above two equations $\frac{AB-d}{d}=\frac{vt}{25t}$ $\implies \frac{AB}{d}-1=\frac{v}{25}$ ...... (2) From equations (1) and (2) $\frac{16}{v}=\frac{v}{25}$ $\implies v^2=16\times 25$ $\implies v=\sqrt{16\times 25}=4\times 5=20$ km/h Therefore, the speed of girl from B is 20 km/h Hope this answer is helpful. Know More: Q: A and b are 25 km apart. If they travel in opposite directions, they meet an hour. If they travel in the same DIRECTION, they meet after 5 hours. If a travel FASTER than b, then the speed of a is: Click Here: brainly.in/question/5817706 Q: two BUSES start from the same time in opposite directions. their speed are 50 km/hr and 60 km/hr RESPECTIVELY. after how long they will be 440 km apart. Click Here: brainly.in/question/4875261

Two girls move in opposite directions, one from A to B and other from B to A. The girl from A reaches the destination in 16 hrs and girl from B reaches her destination in 25 hrs, after having met. If former's speed is 25 km/hr, what will be the speed of latter?

Answer»

The speed of the latter is 20 km/h

Step-by-step explanation:

Let the speed of the girl going from B to A be v km/hr

The DISTANCE between A to B = AB

Let the girl from A has travellevd distance = d before meeting the girl from B

According to the question

Girl from A takes 16 hours and girl from B takes 25 hours after they meet to reach their destination

Speed of girl from A = 25 km/hr

Using Distance = Speed × Time

$AB-d={25}\times{16}$

Again

$d=25\times v$

Dividing both we get

$\frac{AB-d}{d}=\frac{25\times 16}{25\times v}$

$\implies \frac{AB}{d}-1=\frac{16}{v}$ ....... (1)

If they meet after time t

Then in time t, the girl from A has travelled distance = d

And the girl from B has travelled distance = AB - d

Thus

$d=25\times t$

And $AB-d=v\times t$

From the above two equations

$\frac{AB-d}{d}=\frac{vt}{25t}$

$\implies \frac{AB}{d}-1=\frac{v}{25}$ ...... (2)

From equations (1) and (2)

$\frac{16}{v}=\frac{v}{25}$

$\implies v^2=16\times 25$

$\implies v=\sqrt{16\times 25}=4\times 5=20$ km/h

Therefore, the speed of girl from B is 20 km/h

Hope this answer is helpful.

Know More:

Q: A and b are 25 km apart. If they travel in opposite directions, they meet an hour. If they travel in the same DIRECTION, they meet after 5 hours. If a travel FASTER than b, then the speed of a is:

Click Here: brainly.in/question/5817706

Q: two BUSES start from the same time in opposite directions. their speed are 50 km/hr and 60 km/hr RESPECTIVELY. after how long they will be 440 km apart.

Click Here: brainly.in/question/4875261