abdul travelld 300 km by train and 200 km by taxi in took him5 hours 30 min but .If he travel 260 km by train 240 km by taxi we take 6 min longer find speed of train and taxi.

Asked by mukul rao | 17th Jun, 2013, 01:08: PM

Expert Answer:

Let the speed of train and taxi be x km/hr and y km/hr respectively.

Now,

time taken by train to cover 300 km 

and time taken by taxi to cover 200 km 

also

total time taken = 5 hours 30 minutes

also time taken by train to cover 260 km 

time taken by taxi to cover 240 km 

and total time taken = 5 hours 30 minutes + 6 minutes

= 5 hours 36 minutes 

Putting  and  in (1) and (2) we get

600 u + 400 v = 11 ... (3)

325 u + 300 v = 7 ... (4)

Solving (3) and (4)

x = 100 and y = 80

Hence the speed of the train is 100 km/hr

and the speed of the taxi is 80 km/hr

Answered by  | 17th Jun, 2013, 05:00: PM

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