Question
The speed of a car is 30% more than that of a bike. Both
of them start from a same point. After travelling for 7 hours, the speed of the bike is increased by 35%. After 9 hours from starting, the car was 50 km ahead of the bike. Find the initial speed of the bike.Solution
Let the initial speed of the bike be ‘x’ km/hr Therefore, speed of the car = 1.30x km/hr According to the question, 9 × 1.30x – (7x + 2 × 1.35x) = 50 => 11.7x – 9.7x = 50 => x = 50/2 = 25 km/hr
The length of a rectangle is increased by 20% and the width is decreased by 10%. What is the percentage change in the area of the rectangle?
In the question, two equations I and II are given. You have to solve both the equations to establish the correct relation between x and y and choose the...
If log₁₀(x² − 1) = log₁₀(4x − 3), find x.
Amit can complete a task alone in 20 days. Bheema and Chetna, working together, can complete the same task in 12 days. The ratio ...
In a triangle ABC, AB = AC and the altitude from A to BC is 8 cm. If BC = 12 cm, find the area of the triangle.
A container has a mixture of two liquids, A and B, in the ratio of 5:3. If 16 liters of the mixture are removed and replaced with 16 liters of liquid B,...
A rectangular park is 120 m long and 80 m wide. A path of uniform width is constructed inside the park. If the area of the path is 3600 m², find the wi...
P invested Rs. 7,000 at a simple interest rate of 22% per annum, while Q invested an unknown sum at a compound interest rate of 2...
The ratio of the radii of cylinders A and B is 2:3, and the volume of cylinder B is 200% greater than that of cylinder A. Based on the information provi...
A cone has a height of 12 cm and a base radius of 5 cm. A sphere with the same volume as the cone is constructed. What is the radius of the sphere?
Relevant for Exams:
