Question
Two trains of length 200m and 160m respectively are
running on parallel lines of rails. When running in the same direction the faster train passes the slower one in 36 seconds, but when they are running in opposite directions with the same speeds as earlier, they pass each other in 18 seconds. Find the speed of each train?Solution
Let the speed of the faster train and slower train is x m/sec and y m/sec When running in the same direction (x – y) × 36 = (200 + 160) = 360………….(i) When running in opposite directions (x + y) × 18 = (200 + 160) = 360………….(ii) From (i) and (ii) x = 15, y = 5
A box contains 8 yellow marbles, ‘x’ blue marbles and 12 white marbles. A box contains 5 yellow marbles, 2 blue marbles and 3 white marbles. The pro...
A bag contains 3 black balls, 12 blue balls, and 3 yellow balls. Two balls are drawn at random. Find the probability that the two balls are blue.
A box holds a total of 'p' purple balls and 5 silver balls. Two balls are drawn sequentially without replacement. The probability that both selected bal...
A is trying to break a bulb by throwing balls at it. If he hits the bulb 3 times in every 5 throws and bulb breaks 3 times out of 12 hits, then find the...
A bag has 7 pink, 4 black and 3 yellow balls while another bag has 5 pink, 6 yellow and 3 blue balls. A bag is selected at random and a ball drawn out ...
The probability of selecting a rotten egg randomly from a basket of 1200 eggs is 0.22. What is the number of rotten eggs in the basket?
A box contains 13 black and 13 white balls. The probability of drawing two balls of the same colour is?
Bag A contains 4 red balls and 6 blue balls, whereas bag B contains 5 red balls and 3 blue balls. One ball is drawn at random from A and transferred in...
- The letters of the word MISCHIEF are arranged among themselves. What is the probability that word ICE will be contained?
40 pens are there in a box where 22 are red pens, ‘p’ are blue pens and remaining are black pens. If a pen is picked, the probability of getting blu...
Relevant for Exams:
