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a man travels 370 km bu train de gas if the250 km hain &rest cas it dekes this he that120km by draink sest by cas its takes 18 hintenfind the speed of hain for |
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Answer» Let the speed of the car be C kmphLet the speed of the train be T kmph 4 hours = 250 km/T kmph + (370 - 250) km/C kmph 4 = 250/T + 120/C --------eq(1) 4 hrs 18 minutes = 130 km / T kmph + (370 - 130)km / C kmph 258/60 = 4.3 = 130 / T + 240 / C ----------eq(2) Multiply eq(1) by 2 and subtract eq(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 eq(1) to get, 4 = 250/T + 120/C4 = 250/100 + 120/C4 - 2.5 = 120/C C = 120/1.5 = 80 kmph The train runs at 100 kmph and the car runs at 80 kmph |
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