Question
Each side of square ‘A’ is 8 cm less than that of
square ‘B’. The perimeter of a rectangle is 6 times the difference of the perimeters of the two square. If the length of the rectangle is 40 cm, then find its breadth.Solution
Let each side of the square ‘A’ be ‘a’ cm Therefore, each side of square ‘B’ = (a + 8) cm Difference between their perimeters = 4(a + 8) – 4a = 32 cm Therefore, perimeter of the rectangle = 6 × 32 = 192 cm Let the breadth of the rectangle be ‘b’ cm According to the question, 2 × (40 + b) = 96 Or, 40 + b = 96 Or, b = 56 cm
A and B can complete a task in 12 days and 16 days respectively. They start working together but B leaves after 4 days. In how many more days will A com...
A man running with the speed of 56 km/hr covers a certain distance in ‘x’ hours. If the same distance can be travelled with a speed of 63 km/h in (x...
Before servicing, a car runs at a speed of 45 km/hr while after servicing, it runs at a speed of 90 km/h. After servicing the car covers a certain dista...
The ratio of the speeds of two trains is 5:6. If each train increases its speed by 10 km/hrs., the ratio becomes 6:7. What is the original speed of the ...
Two friends start running on a circular track of 900 metres in opposite directions. One runs at 18 m/s and the other at 27 m/s. When will they first be ...
The speeds of Vishank and Karun are 60 km/hr and 90 km/hr. Initially, Karun is at a point P and Vishank is at a place Q. The distance between P and Q is...
A train is travelling at the rate of 45 km/hr. How many seconds it will take to cover a distance of 5/8 km?
Speed of an aircraft is 120 km/min. This speed in m/sec is:
- A person completes a journey in 300 minutes by train at a speed of 60 km/h. What should be his speed by bus to cover the same distance in 7 hours?
A cheetah can catch a deer running with a speed of 90 km/h and is 80 meters ahead of it, in 16 seconds. Find the time taken by the cheetah to catch a ze...
