Question
The downstream speed of a boat is 6 km/hr more than its
upstream speed and the ratio of the speed of the boat in still water to the speed of the stream is 11:3. Find the total time taken by boat to travel 42 km downstream and 32 km upstream?Solution
Let the speed of boat in still water be x km/hr and that of stream be y km/hr. ATQ, ⇒ (x + y) – (x – y) = 6 ⇒ y = 3 km/hr ⇒ x = 3 × 11/3 = 11 km/hr Required time = [42/(11+3)] + [32/(11−3)] = 7 hr
The HCF of two numbers is 48, and their LCM is 1440. If one of the numbers is 576, find the other number.
If total number of factors of 5,292 is 'x', then find the value of (x - 7)(x + 2).
The product of two positive integers is 3630. If their HCF is 11 and their sum is 143, then find the difference between the numbers.
The sum of two numbers is 99 and their HCF is 9. Total number of such pairs of numbers is?  Â
Compute the difference between the LCM and HCF of the given numbers: 20, 50, and 100.
The HCF and LCM of two consecutive even number is 2 and 112 respectively. Find the sum of reciprocal of these two numbers?
Find the LCM of 36, 45, 60, 80.
- The sum of the HCF and LCM of two numbers is 340, and the LCM is 16 times the HCF. If one of the numbers is 40, find the other number.
The sum and difference of the Least Common Multiple (L.C.M) and Highest Common Factor (H.C.F) of two numbers are 216 and 184, respectively. One of the ...
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.
Relevant for Exams:
