Question

A man travels 370 km, partly by train and partlyby car. If he covers 250 km by train and rest ofthe distance by car, it takes him 4 hours. But, ifhe travels 130 km by train and the rest of the
distance by car, he takes 18 minutes longer, then
the speed of train and car is (in km/h)
(1) 100, 140
(2) 60, 80
(3) 100, 80
(4) 80, 90​

Answer 1

Option c is correct one.

100 , 80

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

Answer 2

Answer:

3) 100, 80 ✔️✔️✔️✔️

hOpes it helps you ✌⚡

thanku :)