# maths

posted by .

the distance between two stations is 340 km two trains start simultaneously on parallel tracks to each other . the speed of one of them is greater than that of the other by 5 km/hr. if the distance between the two trains after 2 hrs of their start is 30 km , find the speed of each train

• maths -

Two trains with speeds s and s+5 km/hr.
Initial distance=340 km
final distance = 30 km
Total distance travelled = 340-30=310 km
Total speed = s+s+5=2s+5
Time = 2 hrs
Form equation equating distance travelled
Time*speed=distance, or
2(2s+5)=310
2s+5=155
2s=150
s=75
Speeds of trains are 75 km/h and 80 km/hr

• maths -

If one train has a velocity of V km/h, the other one will have velocity V+5 km/h approaching the first train. Therefore Relative velocity will be V+V+5=2V+5 km/h.
Distance travelled by them in 2 hrs is 340-30=310km which is =2(2V+5)
Thus 4V+10=310 or 4V=300 hence V=75km/h and other train has a velocity of 80km/h.
Check: in 2 hrs they will move 75x2+80x2=150+160=310km =340-30 km. OK.

## Similar Questions

1. ### math

two trains start from towns 208 miles apart and travel towards each other on parallel tracks. They pass each other 1.6 hours later. If one travels 10 mph faster than the other find the speed of each train?
2. ### Pre-Calculus-Trig

Two trains depart simultaneously from the same station. The angle between the two tracks on which they leave is 120 degrees. One train travels at an average speed of 45 mph and the other at 70 mph. How far apart are the trains after …
3. ### math

the distance between 2 station A and B is 230 km .two car start simultaneously from A and B in the opposite directions and the distance between them after 3 houra is 20 km. If the speed of one car is less than that of the other by …
4. ### math

The distance between Delhi and Meerut is 75km . Two trains at a speed of 100km/hr and 80km/hr leave the two stations at 8am towards each other. At what time they will pass each other?
5. ### physics

two metra trains are on separate but parallel tracks. One has a speed of 90 km/hr, the other 80 km/hr. Initially, the two trains are 2.71 km apart. How long will it take the two trains to pass each other?
6. ### math

the distance between two stations is 300km. two trains start simultaneously from these stations and move towards each other ,the speed of one them is 7k/hr more than the other . if the distance between them after 2hours of their start …
7. ### Math

The distance btwn two stations A and B is 230km.two motrcyclst start simultaneously frm A & B in opposite directn and the distance btwn them aftr 3hour bcm 20km.if the speed of one motorcyclst is 10km hr les thn that of the other,find …
8. ### Math

Plz help me to solve this question The distance between two stations A & B is 230km.Two motorcyclistr start simultaneously from A&B in opposite directions and the distance between them after 3hours becomes 20km.if the speed of one …
9. ### Math

Two trains are both traveling at a constant speed toward each other on neighboring tracks. The trains are 252 miles apart when they start traveling. They pass each other 4 1/2 hours later. One of the trains is traveling 25 3/4 miles …
10. ### physics

Two trains 200m and 300m are running towards each other at 50km/hr and 40km/hr respectively and the distance between the two trains is 12km. In how many minutes will the two trains cross each other.?

More Similar Questions