Question

raju travels 500 km to his home partly by train and partly by car. he takes 11 hours if he travels 300 km by train and the rest by car.he takes 1 hour more if he travels 100 km by train and the rest by car. find the speed of the train and the car

Answer 1

Answer:

Step-by-step explanation:

time taken to travel by train : 11hr = 660min= 39600

speed of the train = 500/11  = 45kmph

Answer 2

Given:

• Raju travels 500 km to his home partly by train and partly by car.
• Raju takes 11 hours if he travels 300 km by train and the rest by car. he takes 1 hour more if he travels 100 km by train and the rest by car

To Find:

The speed of the train and the car

Solution:

let the speed of the train be x km/hr and car y km/hr.

case 1:

He travels 300 km by train and 200 km by car,

300/x + 200 / y = t₁

300/x + 200 / y =11

300y + 200x = 11xy------eqn 1

When he travels 100 km by train and 400 km by car

100/x + 400/y = t₂

100/x + 400/y = 12     as it take 1 hour more

100y + 400x = 12xy-------eqn 2

so take eqn 1 and 2

{ 300y + 200x = 11xy } × 2

{ 100y + 400x = 12xy } × 1

600y +400x = 22xy

-100y - 400x = -12xy

-------------------------------

500y = 10 xy

500/10 = x

50 = x

puy x = 50 in eqn 1

300y + 200x = 11xy

300y + 200(50) = 11xy

300y + 10000 =11 (50) y

300y + 10000 = 550y

10000 = 250y

10000/250 = y

40 = y

Hence, the speed of the train is 50 km/hr, and the car is 40 km/hr.