Question
Train 'M' takes 2 hours less than Train 'N' to travel a
distance of 150 km. The speed of Train 'M' is 20 km/h more than that of Train 'N'. What is the time taken by Train 'N' to cover a distance of 360 km?Solution
Let the speed of train 'N' be 'v' km/h. Speed of train 'M' = (v + 20) km/h ATQ, 150/v - 150/(v + 2) = 2 Or, 150(v +2) - 150v = 2v (v + 10) Or, v2 + 50v - 30v - 1,500 = 0 Or, v(v + 50) - 30(v + 50) = 0 Or, (v + 50) (v - 30) = 0 So, 'v' = 30 or 'v' = - 50 Speed cannot be negative. So, 'v' = 30 Therefore, time taken by train 'N' to cover 360 km = (360/30) = 12 hours
11 46 109 208 351 ?
200, 50, ‘?’, 46.875, 82.03125
3 15 35 63 99 ?
To find the Next number in the given series.
342 510 726 996 1326 ?
...12, 20, 36, ?, 132, 260
13 182 303 384 433 ?
...13 14 22.5 ? 120 363
...3, 2, 3, 8, 31, ?
Direction: Which of the following will replace ‘?’ in the given question?
2, ‘?’, 46, 136, 311, 605, 1086
24 25 46 ? 572 2885
...
