Q18) A man travels 370 km partly by train and partly by car. If he covers 250 km by train and the
rest by car, it takes him 4 hours. But if he travels 130 km by train and the rest by car, he takes
18 minutes longer. Find the speed of the train and that of the car.
Answers
Answer:
142 km per hour
Step-by-step explanation:
Kiski shadi main yeh Banda jarahatha ithni jaldi main
Answer:
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
Step-by-step explanation: