Question

Train starts full of passengers. At the first station, it drops one-third of passengers and takes 280 more. At the second station, it drops one-half of the new total and takes 12 more. On arriving at the third station, it is found to have 248 passengers. Find the number

Answer 1

Answer:

288

Step-by-step explanation:

Let x be the number of passengers

After first station, the number of passengers left = 2x/3 + 280.

After second station, number of passengers left = 1/2(2x/3 + 280) + 12

                                                                                 = x/3+ 140+12 = x/3+152.

At the third station, number of passengers = 248

=> x/3+ 152 = 248

=> x/3 = 248 - 152 = 96

=> x = 288.

Thus the original number of passengers = 288.