Question
14 women working 8 hours a day
can complete a piece of work in 30 days. What is the time taken by 28 men working 5 hours a day to complete the work if the efficiency of a woman is 30% less than that of a man?Solution
ATQ,
Let the efficiency of a man be '5a' units/day. So, the efficiency of a woman = 0.70 × 5 = '3.5a' units/day. Total work = 14 × 3.5a × 8 × 30 = '11760a' units. So, time taken by 28 men working 5 hours a day to complete the work: = 11760a ÷ (28 × 5a × 5) = 16.8 days.
The product of two numbers is 2880 and their GCD is 24. What is the LCM?
Find the least number of four digits which is exactly divisible by 6, 24 and 32?
The least number which when divided by 8, 12, 16 and 18 leave zero remainder in each case and when divided by 22 leaves a remainder of 12 is:
The LCM of two numbers is 180, and the numbers are in the ratio 5:9. What will be the sum of the numbers?
Sum of the two numbers is 49 and their HCF and LCM are 7 and 70, respectively. Find the sum of reciprocal of the given two numbers.
Find the greatest number that will divide 420, 525 and 300 without leaving a remainder.
Compute the difference between the LCM and HCF of the given numbers: 20, 50, and 100.
Ratio of two numbers 7:9 and their LCM is 1890. Find the sum of the given two numbers.
The product of the two prime numbers is 187. What will the L.C.M of these two numbers?
The product of two numbers is 132 and their highest common factor is 6. What is the least common multiple of these numbers?