The distance between two stations A and B is 200 km. Two trains start at the same time from A and B in the opposite directions towards each other. After 2 hours, the distance between them is 50 km. if the speed of one train is 5 km/h more than the other train, find their speed.
Ayanhusain:
please give me solution
Answers
Answered by
10
Total distance traveled = 200 - 50 = 150 km
They traveled for 2 hours.
.
Find the difference in their distance:
1 hour = 5 km
2 hours = 5 x 2 = 10 km
.
Find the distance traveled by each train:
Let the distance one train be x
The other train is x - 10
.
Total distance is 150:
x + x - 10 = 150
2x - 10 = 150
2x = 160
x = 80
.
One train traveled 80 km.
The other train traveled 80 - 10 = 70 km
.
Find their speed:
Slower train = 70 ÷ 2 = 35 km/h
Faster train = 80 ÷ 2 = 40 km/h
.
Answer: Their speed are 35km/h and 40km/h
Answered by
7
Solutions :-
️Let the speed of the train Travel slower ( x Km / h)
A.T.Q speed of Faster train will be ( x + 5 Km / h)
Distance traveled by slower train in 2 hours
=> speed = distance / time
=> Distance = speed × time
=> Distance = ( x ) × 2
=> Distance = 2 x Km
Distance traveled by faster train
=> Distance = speed × time
=> Distance = ( x + 5 ) × 2
=>Distance = ( 2 x + 10 ) Km
️ Now total distance was 200 and they had traveled 150 Km after 2 hours , So
=> 2 x + 2 x + 10 = 150
=> 4 x + 10 = 150
=> 4 x = 140
=> x = 35 Km / h
️ Now speed of slower train is 35Km / h
Speed of Faster train is ( 35 + 5 ) = 40 Km / h
THANKS
️Let the speed of the train Travel slower ( x Km / h)
A.T.Q speed of Faster train will be ( x + 5 Km / h)
Distance traveled by slower train in 2 hours
=> speed = distance / time
=> Distance = speed × time
=> Distance = ( x ) × 2
=> Distance = 2 x Km
Distance traveled by faster train
=> Distance = speed × time
=> Distance = ( x + 5 ) × 2
=>Distance = ( 2 x + 10 ) Km
️ Now total distance was 200 and they had traveled 150 Km after 2 hours , So
=> 2 x + 2 x + 10 = 150
=> 4 x + 10 = 150
=> 4 x = 140
=> x = 35 Km / h
️ Now speed of slower train is 35Km / h
Speed of Faster train is ( 35 + 5 ) = 40 Km / h
THANKS
Similar questions