Question
Pooja can complete a task in 45 days and Kavita in 30
days. A third person, Mehul, is 20% more efficient than both of them combined. How many days will Mehul take to finish the work alone?Solution
Let total amount of work = 90 units (LCM of 45 and 30) Work done by Pooja in one day = 90/45 = 2 units Work done by Kavita in one day = 90/30 = 3 units Work done by Mehul in one day = 1.20 × (2 + 3) = 6 units Required time = 90/6 = 15 units
From a point on circular track 20 km long P, Q and R started running in the same direction at the same time with speed of 4 km per hour, 2 km per hour, ...
The ratio of two numbers is 4:8 and their LCM is 96. The numbers are:
- The sum of the HCF and LCM of two numbers is 544, and the LCM is 16 times the HCF. If one number is 34, find the other. (find the approximate value)
- The product of two numbers is 5600 and their L.C.M is 280. What is the H.C.F of the two numbers?
Three numbers are in the ratio 6:9:10 respectively. If the HCF of the numbers is 3, then find the LCM of the numbers.
Find the smallest two-digit number that leaves 4 as remainder when divided by 6 and 7.
Two numbers are in the ratio 3:7. The product of their H.C.F. and L.C.M. is 2541. The sum of the numbers is:
Find the HCF of 240, 280 and 560.
- The least common multiple (LCM) of two numbers is 144, and the numbers are in the ratio 4:6. Find their sum.
Relevant for Exams:
