Question
While going to a destination after travelling 75km, the
driver noticed some problem in the clutch of the train due to which he had to proceed at 2/5 of its former rate and reached the destination 5 hours late. Had the problem in the clutch happened 15 km further on, it would have arrived 30 minutes sooner. Find the speed of the train.Solution
Let A is the starting point and B is actual point where train started facing problems C is the assumed point train started facing problems Given BC = 15km and Difference of is 30 minutes basically due to the speed covering this 15km. Let original speed = x km/hr ∴ Speed after clutch problem = 2x/5 km/hr ⇒ 15/(2x/5) - 15/x = 30/60 ⇒ 75/2x - 15/x = 1/2 ⇒ (75 - 30 )/2x = 1/2 ⇒ (45 )/2x = 1/2 ⇒ x = (45 × 2)/2 ∴ x= 45 km/hr
If a triangle with base 6 cm has the same area as a circle with radius 6 cm, then the corresponding altitude (in cm) of the triangle is:Â
Sides of a parallelogram are in the ratio 5:4. Its area is 1200 sq. units. Altitude on the greater side is 24 units. Altitude on the smaller side is:
The radius of a circle is x meters, and the side of a square is x + 5 meters. If the sum of the circumference of the circle and the perimeter of the squ...
A circle is inscribed in a square of side 28 cm. The area of the remaining portion of the square which is not enclosed by the circle is.
- Which of these solids has a higher volume?
I) A cuboid of length 6 cm, width 9 cm, and height 11 cm
II) A cube with each side 10 cm After increase in sugar prices by 20%, a person is able to buy 2 kg less sugar for Rs. 540. Find the original and increased price of sugar per kg.
...The perimeter of 3 squares is 28 cm, 36 cm and 48 cm respectively. What will be the area of the square having perimeter equal to sum of edges of 3 squar...
The area of a square is 45 sq. cm more than the area of a rectangle of length 15 cm and breadth 12 cm. What will be the area of incircle of the square?
Find the surface area of the smallest cube that can perfectly fit a sphere of volume 18432Ï€ cm3 inside it. Â
The volume and height of a cylinder are 7986 cm3 and 21 cm. Find the radius of the cylinder.
Relevant for Exams:
