Question
A alone can complete 60% of a work in 36 days while B
takes 30 days more than A to complete it. If B and C together can complete the work in 40 days, then find the time taken by C alone to complete the same work.Solution
A's work rate: A completes 60% of the work in 36 days. A completes the full work in 36/0.6= 60 days. A's daily work rate is 1/60 B's work rate: B takes 30 days more than A, so B completes the work in 60+30 = 90 days. B's daily work rate is 1/90 . Combined work rate of B and C: B and C together complete the work in 40 days. Their combined daily work rate is 1/40. Find C's work rate: Let C's daily work rate be 1/C Combined rate equation: 1/90+1/C=1/40 Solve for 1/C : Time taken by C alone: C completes the work in 72 days. Therefore, C alone takes 72days to complete the work.
what is the mean of given numbers 25, 15, 12, 23, 15,
The mean of the sample data = 60 and median = 48. Find the mode of this distribution.
Find the curved surface area of a right circular cone with a radius of 40 cm. The height of the cone is one-third of the length of a rectangle. The rect...
Pipe ‘A’ and pipe ‘B’ can fill a cistern in 20 minutes and 15 minutes respectively. Pipe ‘C’ alone can empty the cistern in 12 minutes. If a...
Present average age of A, B and C together is 44 years. Age of B is 12 Years hence from now will be 260% more than age of A, Four years ago from now whi...
If p:q = 5:7 and p + q = 408, then find the value of (q - p).
The mean of a distribution is 25 and the standard deviation is 5. What is the value of coefficient variation?
BMC Catering Services has divided its fee structure into two components: a fixed fee and a variable fee, which depends on the number of plates ordered. ...
If the number 9458k2 is divisible by 8, then find the number of possible values of 'k'.
If the median and mode of a data set are 6 and 12 respectively, then find the mean of the data.