a man travel 370 kmparyly by train and partly by car. if he covers 250 km by train and the rest by car , he takes 4 hours .But , if he travels 130 km by train and the rest by car , he takes 18 minutes more. find the speed of train and car . Please solve this answer quickly. ..
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Step-by-step explanation:
Let the speed of the car be C kmph
Let the speed of the train be T kmph
4 hours = 250 km / T kmph + (370 - 250) km / C kmph
4 = 250/T + 120/C -- equation 1
4 hrs 18 minutes = 130 km / T kmph + (370 - 130)km / C kmph
258/60 = 4.3 = 130 / T + 240 / C --- equation 2
Multiply equation 1 by 2 and subtract equation 2 from it.
8 - 4.3 = 500/T - 130/T + 240/C - 240/C
3.7 = 370 / T
T = 370/3.7 = 100 kmph
Substitute the value of T in equation 1 to get,
4 = 250/T + 120/C -- equation 1
4 = 250/100 + 120/C
4 - 2.5 = 120/C
C = 120/1.5 = 80 kmph
The train runs at 100 kmph and the car runs at 80 kmph
vidhi1432:
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