Question
A man is travelling at a speed of 40 km/h such that he
will take 90 minutes to reach his destination. But after completing half the journey, the man took a break of 15 minutes and then continued his journey. Find the speed at which the man must cover rest of the journey to reach his destination in original time.Solution
Total distance to be covered = 40 × (90/60) = 60 km Time taken to cover half the distance at original speed = {(60 ÷ 2) ÷ 40} × 60 = 45 minutes Time remaining = 90 – 45 – 15 = 30 minutes Required speed = 30 ÷ 30 × 60 = 60 km/h
A bag has 4 red, 3 blue, and 3 green balls. Two are drawn without replacement. Find probability that both are of different colors.
- The letters of the word MISCHIEF are arranged among themselves. What is the probability that word ICE will be contained?
One bag contains 5 yellow hats and 4pink hats. Another bag contains 3 yellow hats and 7pink hats. If one hat is drawn from each bag, what is the probabi...
17 rotten bananas are accidentally mixed with 120 good ones. It is not possible to just look at a banana and tell whether or not it is rotten. One banan...
One five letter word is to be formed taking all letters – U, Z, M, O and Q. What is the probability that this is word formed will contain all vowe...
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 250 eggs is 0.2. What is the number of rotten eggs in the basket?
16 rotten bananas are accidentally mixed with 155 good ones. It is not possible to just look at a banana and tell whether or not it is rotten. One banan...
- A container holds 7 orange balls, 5 violet balls and 8 grey balls. Two balls are drawn at random. What is the probability that at least one of them is viol...
A box has ‘x’ black marbles, ‘x + 5’ blue marbles and ‘x – 1’ yellow marbles. If the probability of selecting a yellow marble is 1/28 less...
Relevant for Exams:
