Question
A can complete a task in 20 days, and B can complete it
in 25 days. When B and C collaborate, they can finish the same task in 75/8 days. Now, if A and C initiate the work together and after 6 days, B takes over from C, how many days will it take to complete the entire task?Solution
ATQ, Let total amount of work = LCM of 20, 25, 75/8 = (LCM of 20, 25,75)/(HCF of 1, 1, 8) = 300 units Amount of work done by A in one day = 300/20 = 15 units Amount of work done by B in one day = 300/ 25 = 12 units Amount of work done by B and C in one day = 300/ (75/8) = 32 Amount of work done by C in one day = 32 – 12 = 20 units Amount of work done by A and C in 6 day = (15 + 20) × 6 = 210 Rest work = 300 – 210 = 90 units Rest work done by A and B = 90/(12 + 15) = 90/27 = 10/3 days Total time taken to complete the work = 6 + 10/3 = 28/3 days
Select the option that is related to the fifth term in the same way as the second term is related to the first term and the fourth term is related to t...
If 23 # 45 = 74 and 78 # 99 = 48, then 56 # 78 = ?
- Select the word-pair in which the two words are related in the same way as are the two words in the following word-pair:
Sparrow : Bird Select the option that is related to third letter cluster in the same way as second letter cluster is related to first letter cluster.
DEL: IJQ :: OIL: ?
Force : Newton :: Pressure :Â Â ?Â
- Select the option that is related to the third number in the same way as the second number is related to the first number and the sixth number is related t...
Change the question mark with the option that follows the logic applied to the first pair.Â
Television : Electricity :: Car : ??
Select the combination of letters that when sequentially placed in the blanks of the given letter series will complete the series.
R _ _ T U V...
If all dogs are mammals, and some mammals are brown, can we conclude that some dogs are brown?
Select the option that is related to the first number in the same way as the third number is related to fourth number and the fifth number is related to...