Question
The ratio of the speed of the boat in upstream to that
of in downstream is 3:4, respectively. If the speed of the current is 5 km/h, then find the speed of the boat in still water.Solution
According to the question: Let the speed of the boat in still water = x km/h Speed of the boat downstream = (x+5) km/h Speed of the boat upstream = (x−5) km/h According to the question, (x−5):(x+5)=3:4 4(x−5)=3(x+5) 4x−20=3x+15 4x−3x=15+20 x=35 km/h
The HCF and LCM of two natural numbers are 6 and 36, respectively. What is the difference between the two numbers, if one of the numbers is 18?
The product of two numbers is 132 and their highest common factor is 6. What is the least common multiple of these numbers?
- The LCM and HCF of two integers are 540 and 12 respectively. If one of the integers is 90, find the second integer.
The HCF and LCM of the two numbers are 225 and 360 respectively. When the first number is divided by 3, the quotient is 20. The other number is.
The sum of two numbers is 444 and their HCF is 37. Find all the possible pairs of such numbers?
Which of the following numbers is divisible by 11?
If two numbers are in the ratio 2:3, what is the ratio of their HCF to their LCM?
The H.C.F of two numbers is 2 and their L.C.M is 117. If one of the numbers is 13, find the other?
Compute the difference between the LCM and HCF of the given numbers: 20, 50, and 100.
The ratio of two numbers is 6:11 and their LCM is 264. The numbers are:
Relevant for Exams:
