Question

A man travels 300 partly by train and partly by car. He takes 4 hours if he travels 60 km by train and the rest by car. If he travels 100km by train and the remaining by car,he takes 10 minutes longer. Find the speeds of the train and the car separately?​

Answer 1

Step-by-step explanation:

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.

Answer 2

Step-by-step explanation:

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.