Question
'A' is capable of completing a specific task on their
own in 20 days. 'B' can independently handle 60% of the same task in 18 days. If 'A' and 'B' collaborate on this task, how long will it take them to finish it completely?Solution
Time taken by 'A' to finish the entire work alone = 25 ÷ 1.25 = 20 days And time taken by 'B' to finish the entire work alone = 18 ÷ 0.6 = 30 days Let the total work be 60 units. {LCM (20 and 30)} So, efficiency of 'A' = 60 ÷ 20 = 3 units/day And efficiency of 'B' = 60 ÷ 30 = 2 units/day So, required time = {60/(3 + 2)} = 12 days
A bag contains 13 white and some black balls. If the probability of drawing a black ball from the bag is twice that of drawing a white ball, find...
18 rotten bananas are accidentally mixed with 132 good ones. It is not possible to just look at a banana and tell whether or not it is rotten. One banan...
If a coin is tossed repeatedly and the head appears for the first 94 times then what is the probability that the tail appears on the 95th toss?
A bag contains 5 red, 4 green, and 3 blue balls. What is the probability of drawing a green ball?
In a lottery, there are 4 prizes and 20 blanks. A lottery is drawn at random. What is the probability of getting a prize?
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...
In a lottery, there are 6 prizes and 30 blanks. A lottery is drawn at random. What is the probability of getting a prize?
- Two playing cards are drawn one after another without putting the first one back. What is the probability that at least one of them is an Ace?
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 ...
A bag contains 4 orange balls, 5 black balls, and 6 pink balls. If 3 balls are taken out randomly, what is the probability that all the three balls
Relevant for Exams:
