Question
A woman walks to the market at (4/6) of her normal speed
and reaches 30 minutes late. Find her usual time to reach the market.Solution
(Simplify (4/6) to (2/3) first. We’ll use 2/3.)
ATQ, When distance is constant, Time ∝ (1 / Speed) So, the ratio of usual time to new time = 2 : 3 Let the usual time = 2t minutes and the new time = 3t minutes. 3t – 2t = 30 ⇒ t = 30 Usual time = 2t = 2 × 30 = 60 minutes
Find the sum of all natural numbers less than 1,000 that are divisible by both 3 and 5 but not by 7.
A person had to multiply two numbers. Instead of multiplying by 46, the person multiplied by 64, and the product went up by 360. What is the raised pro...
- The sum of two numbers is 30 whereas the sum of their reciprocals is (12/5). Find the square of the product of the two numbers.
Find the remainder when 2⁵⁷ is divided by 5.
Find the least number that should be added to 1240 so that it is exactly divisible by 65.
What is the remainder when the expression 289n+147 is divided by 17?
In a school a total of 4,900 pencils were distributed among all the students in the school. The pencils were distributed in such a way that number of pe...
A = (5/2) × B and C = (1/10) × A. If (A + B + C) = 255, then determine the value of (7C – B).
find the value of this?