Anuj travels 300km partly by train and partly by car. If he covers 200km by train and the rest by car, it takes him 3 hours. But if he travels 100 km by train and the rest by car, he takes 30 minutes longer. Find the speed of the train and that of the car.
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Answer:
Let, the speed of train be x & speed of bus be y.
Speed=
Time
Distance
or T=
S
D
4=
x
60
+
y
240
………….(1)
4 hr 10 min=
x
100
+
y
200
………..(2)
(1)×5
20=
x
300
+
y
240×S
(2)×3
62
25×3
=
x
300
+
y
600
20−
2
25
=
y
1200
−
y
600
2
15
=
y
600
y=80 km/ph
4=
x
60
+
80
240
x=60 km/ph.
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