Question
'A', 'B' and 'C', alone can complete a piece of work
alone in 12 days, 15 days and 20 days, respectively. 'A' started working alone. In how many days will the work be completed if 'A' is assisted by both 'B' and 'C' on every 4th day?Solution
Let the total work be '60x' units. So, efficiency of 'A' = 60x ÷ 12 = '5x' units/day efficiency of 'B' = 60x ÷ 15 = '4x' units/day efficiency of 'C' = 60x ÷ 20 = '3x' units/day Work done by 'A', 'B' and 'C' together in 4 days = Work done by 'A' alone in 3 days + Work done by 'A', 'B' and 'C' together on 4th day Work done by 'A', 'B' and 'C' together in 4 days = 5x X 3 + (5x + 4x + 3x) X 1 = 15x + 12x = '27x' units So, Work done by 'A', 'B' and 'C' together in next 4 days = '27x' units Amount of work done in first 8 days = 27x X 2 = '54x' units Remaining work = 60x - 54x = '6x' units So, time taken by 'A' to complete the remaining work = 6x ÷ 5x = 1(1/5) days So, total time taken = 8 + 1(1/5) = 9(1/5) days
The sum of the digits of a two-digit number is 9, and when the digits are reversed, the number decreases by 45. Find the changed number.
Find the number of multiplication blocks in 52900.
In a four digit number, the units place digit is one more than the hundreds place digit and the tens place digit is one less than the thousand place dig...
Divisor is 7 times of Quotient and 3 times of its remainder. If the remainder is 7. Find the dividend?
Find the difference between minimum and maximum value of 'k' such that '6k8194' is always divisible by 3.
- When 5 1850 is divided by 126, the remainder is:
- If '48x2y' is a five-digit number which is divisible by 72, then find the value of (x - y).
- 40% of 30% of 750 = x + 15, then find the sum of the squares of the digits of 'x'.
- Determine the total sum of all three-digit numbers that are divisible by both 2 and 7.
Two friends received a bonus of ₹3,000 each in their bank accounts. They already have ₹47,000 and ₹57,000 in their respective bank accounts. The r...
Relevant for Exams:
