Question

Ved travels 600 km to his home partly by train and partly by car . He takes 8 hours if he travels 120 km by train and the rest by car . He takes 20 minutes longer if he travels 200 km by train and rest by car . Find the speed of train and that of the car .

Answer 1

Step-by-step explanation:

Answer is their....

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Answer 2

Given:

• Ved travels 600 km to his home partly by train and partly by car.
• He takes 8 hours if he travels 120 km by train and the rest by car.
• He takes 20 minutes longer if he travels 200 km by train and rest by car.

To find: the speed of the train and that of the car

Solution:

Let the speed of the train be x kmph and that of the car be y kmph

1st condition.

• 120 km by train and (600 - 120) km = 480 km by car
• Then the the train travel was of 120/x hours and the car travel was of 480/y hours.
• Then, 120/x + 480/y = 8

2nd condition.

• 200 km by train and (600 - 200) km = 400 km by car
• Then the train travel was of 200/x hours and the car travel was of 400/y hours
• 20 minutes = 20/60 hours = 1/3 hours
• Total time taken = 8 + 1/3 hours = 25/3 hours
• Then, 200/x + 400/y = 25/3

We have found two equations:

• 120/x + 480/y = 8 ... ...(1)
• 200/x + 400/y = 25/3 or, 8/x + 16/y = 1/3 ... ...(2)

Multiplying (1) by 1 and (2) by 15, we get

• 120/x + 480/y = 8
• 120/x + 240/y = 5

On subtraction, we get

• 240/y = 3
• or, y = 80

Putting y = 80 in (1), we get

• 120/x + 480/80 = 8
• or, 120/x + 6 = 8
• or, 120/x = 2
• or, x = 60

Answer:

• Speed of the train = 60 kmph
• Speed of the car = 80 kmph