Question
A team leader can do a job as fast as three members of
the team working together. If one of the member can do the job in 5 hrs, the second one takes 10 hrs while the third one takes 25 hours for the same, how much time approximately is taken by the leader alone to complete the work?Solution
Work done by all the three members in 1 hour = `1/5+1/10+1/25` `=(10+5+2)/50 = 17/50` part of the work ∴ Time taken by them to complete the work = `50/17` hrs ∴ Time taken by the leader = `50/17` hrs = 3 hrs (approx.)
A bag contains 24 white and some black balls. If the probability of drawing a black ball from the bag is 1.5 times that of drawing a white ball, ...
The probability that Leah will be accepted into program P is 60% and into program Q is 40%. Leah prefers program 'P' first, then 'Q', and finally 'R'. A...
- A bag contains 9 white balls, 6 black balls, and 3 green balls. Two balls are drawn at random. Find the probability that the two balls are white.
Three persons. A, B and C. are given the same puzzle to solve. The probability that A, B and C will solve the puzzle is. 3/5., 2/3., and 1/4respectively...
A box contains 6 red balls, 4 blue balls, and 5 green balls. If two balls are drawn at random, what is the probability that one is red and the other is ...
Given that E and F are events such that P(E) = 0.7, P(F) = 0.4 and P(E ∩ F) = 0.3, find P(E|F) and P(F|E)
A jar contains 54 marbles each of which is blue green or white. The probability of selecting a blue marble at random from the jar is 1/3 and the probabi...
Roger Federer gets a chance of 60% to win 1st set of tennis and Andy Murray gets a chance of 55% to win 2nd set of tennis. In what Percent of cases are ...
A bag contains 35 white and some black balls. If the probability of drawing a black ball from the bag is 1.8 times that of drawing a white ball, find th...
A bowl contains 9 blue balls, 7 white, and 5 black balls. If 2 balls are drawn in one go, then the probability of exactly one ball being white is:
Relevant for Exams:
