2. Namitha travels 600km to her home partly by train and partly by bus She takes & hours of she travels 120 kom by train and the remaining by bus. If the travels 200 km by train and the remaining by bus, she takes 20 minutes longer. the speed of the train and the bar seperately.
Answers
Answer:
Case 1 : Total distance =600 km
distance covered by train =120 km
time taken by train =120/x km/h
x= speed of the train
Distance covered by car =(600−120)=480 km
Time taken by car =(
y
480
) km/h
total time taken =
x
120
+
y
480
=8
x
30
+
y
120
=2
Case II :
total distance covered by train =200 km
total time taken by train =200/x
total distance covered by car =600−200=400
total time taken by car =
y
400
km/h
total time taken =8×(20/60)=25/3
x
200
+
y
400
=
3
25
⇒600/x+
y
1200
=25
Let 1/x be u and
y
1
be v
equation are then
600u+1200v=25⇒30u+120v=2
multiplying equation (1) by 20 and substrating the equations we get :
1200v=15,v=15/1200
Since, 1/y ⇒y=
15
1200
=80 km/h
speed of car =
80 km/h
multiplying equation (1) on 10 and substracting equations we get
300u=5
u=5/300⇒1/x=u
speed of train =x=
5
300
=60 km/h
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