.
cover
The distance between two railway у
stations is 1776 Em
TO
this distance an express trains
takes
5 irs
less than
train while
average speed
of
the
passenger
train
in
70 km h less
than that of
train
express
The time taken by
trave
passenger
the
passenger train to comptete
the
Answers
Step-by-step explanation:
Let the speed of express train be x km/h
Let the speed of passenger train be y km/h
x=y+10..........(i)
Time is defined as the ratio of distance to speed.
Time of express train is less than passenger train by 2 h
x
400
+2=
y
400
...........(ii)
Substituting value of x from (i) in (ii), we get:
y+10
400
+2=
y
400
Rearranging terms, we get:
y
2
+10y−2000=0
y
2
+50y−40y−2000=0
(y+50)(y−40)=0
y=−50,40
Speed cannot be negative.
y=40
From equation (i), x=y+10=50
Hence,
average speed of express train is 50 km/h
average speed of passenger train is 40 km/h
Answer:
Let the speed of express train be x km/h
Let the speed of passenger train be y km/h
x=y+10..........(i)
Time is defined as the ratio of distance to speed.
Time of express train is less than passenger train by 2 h
x
400
+2=
y
400
...........(ii)
Substituting value of x from (i) in (ii), we get:
y+10
400
+2=
y
400
Rearranging terms, we get:
y
2
+10y−2000=0
y
2
+50y−40y−2000=0
(y+50)(y−40)=0
y=−50,40
Speed cannot be negative.
y=40
From equation (i), x=y+10=50
Hence,
average speed of express train is 50 km/h
average speed of passenger train is 40 km/h