Question
'Anuj' and 'Bhanu' start walking towards each other from
point 'P' and 'Q', respectively. 'Anuj' is walking at 4 m/s and 'Bhanu' is walking at 7m/s. If distance between 'Anuj' and 'Bhanu' is 60 metres and they're travelling back and forth between 'P' and 'Q', then find the total distance covered by 'Bhanu' by the time he meets 'Anuj' for the third time given that distance covered by 'Anuj' in that time is (2a/11)metres.Solution
ATQ, By the time 'Anuj' and 'Bhanu' meet for the first time, total distance covered by them would be 60 metres i.e., total distance between point 'P' and point 'Q'. After that, 'Anuj' and 'Bhanu' will reach points 'Q' and 'P' respectively, covering a total of 120 metres. By the time 'Anuj' and 'Bhanu' meet for the third time, total they would've covered 60 X 3 = 180 metres. We know that when time is constant, ratio of distance covered = ratio of speeds So, distance covered by 'Anuj' out of the total = 180 X (4/11) = (720/11) metres Or, (2a/11) = (720/11) Or, a = (720/2) = 360 Distance covered by 'Bhanu' = 180 X (7/11) = (1260/11) metres = {(900 + a) /11}
If n(A) = 25, n(B) = 40 and n(A βͺ B) = 50, then n(A β© B) equals
A bag has balls of three colours. It has 8 red balls, x green balls and y blue balls, If probability of picking one green ball and that of picking one b...
A basket contains 8 pink, 12 violet, and 5 indigo balls. If 2 balls are picked at random without replacement, find the probability that the first ball i...
A bag contains 6 blue, 9 yellow and 15 white balls. Two balls are randomly drawn from the bag, what is the probability that a blue and a white ball are ...
There are three types of maggi masala maggi, aata maggi and vegetable maggi in a bag. The probability of picking a vegetable maggi at random is 6/11. Th...
A basket contains βxβ red apples and 12 green apples. If the probability of selecting a red apple is 2/5, then find the probability that two apples ...
Bag X contains 2 red balls and 6 blue balls, whereas bag Y contains 3 red balls and 2 blue balls. One ball is drawn at random from X and transferred in...
A bag contains 3 black balls, 7 red balls and 5 white balls. Two balls are drawn simultaneously. Find the probability that both the balls are of same c...
- 18 defective pieces of keyboards got mixed with 165 pieces of non-defective keyboards. A customer comes and buys one keyboard. Find the probability of the ...
A bag has ((x - 1)) red, ((x + 2)) green and ((x + 5)) yellow balls. Find the probability of taking, without replacement, out 2 red, 1 green and 2 yell...