Question
A boat takes 15 hours to go downstream from point 'I' to
point 'J' and 25 hours to return upstream. The distance between 'I' and 'J' is 150 km. How long would it take for the boat to cover 300 km in still water?Solution
ATQ, Speed of the boat in still water 'b' and speed of the stream 's' Downstream speed equation: b + s = 150/15 = 10 km/h Upstream speed equation: b - s = 150/25 = 6 km/h Solving these, 2b = 16 = b = 8 km/h Time to travel 300 km in still water = 300/8 = 37.5 hrs The boat would take 37.5 hours to travel 300 km in still water.
Sum of the two numbers is 40 and their HCF and LCM are 8 and 48, respectively. Find the sum of reciprocal of the given two numbers.
- Find out how much the Least Common Multiple exceeds the Highest Common Factor of 16, 40, and 80.
The LCM of two numbers is 40 times its HCF. If the product of the numbers is 1440, find their HCF.
- The LCM and HCF of two numbers is 192 and 16 respectively. If the sum of the number is 112, then find the difference between the numbers.
Four runners started running simultaneously from a point on a circular track. They took 400 seconds, 600 seconds, 720 seconds and 900 seconds to comple...
If the product of two numbers is 108 and their HCF is 6, then find the LCM of the given two numbers.
LCM of two numbers is 5 times their HCF. The product of the numbers is 4500. What will be the maximum possible difference between the numbers?
If total number of factors of 2,520 is 'y', then find the value of (y - 4)(y + 6).
The HCF of two numbers is 6 and their LCM is 84. If one of these numbers is 42, then the second number is:
The H.C.F of two numbers is 8 and their L.C.M is 136. If one of the numbers is 64, find the other?
Relevant for Exams:
