Abdul traveled 300km by train and 200km by taxi, it took him 5 hours 30 minutes. but if hetravels 260 km by train and 240 km by bus he takes 6 minutes longer. find the speed of thetrain and of the taxi.
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Hi pupil here's your answer ::
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Let the speed of the train be 'x' km/hr and the speed of the taxi be 'y' km/hr.
According to the question,
case (i)
Abdul travels 300km by train and 200km by taxi
(300/x) + (200/y) = 5.5 -------------- (1)
case (ii)
he travels 260km by train and 240km by train and takes 6 min longer to complete the journey.
(260/x) + (240/y) = 5.6 -------------- (2) [6 min = 6/60 = 0.1 hrs, 36 min = 0.6 hrs]
Equation 1 can be simplified as 200 x + 300 y = 5.5 xy
Equation 2 can be simplified as 240 x + 260 y = 5.6 xy
Solving the equations (1) and (2), weget
x = 100 and y = 80.
Therefore, speed of the train is 100 km/hr and the speed of the taxi is 80 km/hr.
____________________________
hope that it helps. . . . .
____________________________
Let the speed of the train be 'x' km/hr and the speed of the taxi be 'y' km/hr.
According to the question,
case (i)
Abdul travels 300km by train and 200km by taxi
(300/x) + (200/y) = 5.5 -------------- (1)
case (ii)
he travels 260km by train and 240km by train and takes 6 min longer to complete the journey.
(260/x) + (240/y) = 5.6 -------------- (2) [6 min = 6/60 = 0.1 hrs, 36 min = 0.6 hrs]
Equation 1 can be simplified as 200 x + 300 y = 5.5 xy
Equation 2 can be simplified as 240 x + 260 y = 5.6 xy
Solving the equations (1) and (2), weget
x = 100 and y = 80.
Therefore, speed of the train is 100 km/hr and the speed of the taxi is 80 km/hr.
____________________________
hope that it helps. . . . .
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