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9. Two trains with a speed
of 35 km per hour and 28 km per hour respectively, starting at the same time, run in the opposite directions between two stations A and B, 315 km apart. Find when and where the trains will meet.
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Answer 1

Answer:

$\huge \mathfrak{ \star \: Given} :$

• Two trains with a speed
• of 35 km per hour and 28 km per hour respectively, starting at the same time, run in the opposite directions between two stations A and B, 315 km apart.

$\huge \mathfrak{ \star \: to \: find} :$

• Find when and where the trains will meet?

$\huge \mathfrak{ \star \: solution} :$

$\bold{Let \: both \: the \: trains \: meet \: at \: a \: point \: after \: x \: hours.}$

$\bold{Distance \: covered \: by \: train \: starting \: at \: station \: A \: = \: 35x \: km}$

$\bold{Distance \: covered \: by \: train \: starting \: at \: station \: B = \: 28x \: km}$

$\bold{ \star \: Total \: distance \: covered \: by \: them \: = 315 km }$

$\bold{(Since \: the \: trains \: are \: running \: in \: the \: opposite \: directions)}$

$\bold{ \therefore \: 35x + 28x = 315}$

$\bold{ \implies \: 63x = 315}$

$\bold{ \implies \: x = \frac{315}{63} = 5}$

☄Distance = Speed × Time = 35 × 5 = 175km.

✏Therefore, the trains will meet after 5 hours at a distance of 175km from station A.

$\mathsf\purple{❤|•ItzShizuka50•|❤}$

Answer 2

Step-by-step explanation:

let both trains meet at x distance from station A

TRAIN 1

distance = x

speed= 35

time = x/35

TRAIN 2

distance = 315-x

speed = 28

time = 315-x/28

the time when they meet will be equal

x/35 = 315-x/28

x/5 = 315-x/4

4x = 1575 - 5x

9x = 1575

x = 175

& t = x/35

= 175/35

= 25/5

=5