Question

Abdul travels 300 km by train and 200 km by taxi. it takes him 5 hours 30 minutes. if he travels 260 km by train and 240 km by taxi, he takes 6 minutes longer. find the speed of the train and that of taxi.

Answer 1

Hi ,

Let the speed of the train = x km/h

speed of the taxi = y km/h

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We know that ,


Speed = Distance/time

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According to the problem given ,

i ) Abdul travelled 300km by train,

200 km by taxi in 5 hr 30 mi

300/x + 200/y = 11/2

600/x + 400/y = 11

Let a = 1/x , b = 1/y

600a + 400b = 11 ---( 1 )

ii ) Abdul travelled 260 km by train,

and 240 km by taxi in 5hr 36 mi

260/x + 240/y = 28/5

1300/x + 1200/y = 28

1300a + 1200b = 28---( 2 )


Multiply equation ( 1 ) with 3 , and

Subtract from ( 2 ) , we get

a = 1/100 ,

Put a = 1/100 in equation ( 1 ) , we

get

600/100 + 400b = 11

6 + 400b = 11

400b = 11 - 6

400b = 5

b = 5/400

b = 1/80

Therefore ,

a = 1/100 = 1/x

x = 100 km/hr

b = 1/80 = 1/y

y = 80 km/hr

I hope this helps you.

: )

Answer 2

Answer:

speed of train is100kmph

speed of train is100kmph and speed of taxi is 80kmph

Step-by-step explanation:

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