Question

26 between two station is 300 km the motorcycle start simulate simultaneously from the station and move towards each other the speed of one of them is 7 km per hour more than one of other if the distance between them after 2 hours are they start in 34 km find the speed of each motorcycle check your solution

Answer 1

Distance=300 km

Let speed of First motorcycle=x km/h
Then Distance=Speed ×Time
Distance after two Hours=2x km

Speed of Second motorcycle 7 km/h more than First.
=(x+7)km/h
Distance after 2 hour=2(x+7)

Now question Saying Distance between them is 34 km.
Means If 300-(2(x+7)+2x+34)

You can Understand by
Think A distance=100 km/h
Your speed=10 km/h
Your friend=8 km/h
Now after 2 hour
You cover 20 km
Your friend 16 km

Now between you Distance Remaining
100-(20+16)
100-36
64 km.
Now You Understand.

Let Back to Question.

Now We know.
300-(2x+2(x+7)=34
300-(2x+2x+14)=34
300-4x-14=34
-4x=34+14-300
-4x=48-300
-4x=-252
x=252/4. (- -=+)
x=63

First Motorcycle speed=63 km/h
Second=63+7=70 km/h

Checking.
After 2 hours
1st biker cover Distance=2×63=126 km
2nd biker cover
=2×70=140 km
300-(126+140)
300-266
=34

Hence
LHS=RHS

$\boxed{\mathbf{1st \:motorcycle \:speed=63 km/h}}$

$\boxed{\mathbf{2nd \:Motorcycle \:speed=70 km/h}}$