Question
Pipes A, B, and C can fill a tank in 10 hours, 5 hours,
and 20 hours respectively. If the efficiencies of pipes A and B are each reduced by 50% of their original efficiency and all three pipes are opened together, find the total time taken by them to fill the tank.Solution
Let the capacity of the tank (LCM of 10, 5, and 20) be 20 liters. Efficiency of pipe A = 20/10 = 2 liters/hour Efficiency of pipe B = 20/5 = 4 liters/hour Efficiency of pipe C = 20/20 = 1 liter/hour New efficiency of pipe A = 2 Ă (50/100) = 1 liter/hour New efficiency of pipe B = 4 Ă (50/100) = 2 liters/hour Total efficiency = 1 + 2 + 1 = 4 liters/hour Required time = 20 / 4 = 5 hours
- Using all the letters of the word POETRY, how many words start with a vowel but end with a consonant?
How many four digit numbers greater than 5000 can be formed with the digits 4 ,5, 7, 8, and 9? Â
In how many ways can 7 beads be arranged to make a necklace?
Find the number of ways to arrange each letter of the word 'PROFESSION' such that all the vowels always come together.
In how many ways can the letters of the word VOWEL can be arranged so that all the consonants occupy odd places, vowels come on even places?
In how many ways can 2 girls and 8 boys be seated in a row so that girls are always together?
A group consists of 7 boys and 12 girls. In how many ways can 3 boys and 5 girls be selected from the group?
In how many different ways can the letters of the word âCURIOESâ be arranged in such a way that the vowels occupy only the odd positions?
Five articles out of which 3 are cups and rest are glasses have to be arranged on a shelf. Find the number of ways of arrangement in which all three cup...
Find total number of ways in which the word âACCOMMODATEâ can be arranged.
Relevant for Exams:
