Question
Amit covered 360 kilometers in total trip time. He
covered the remaining 200 km on a bicycle at a speed that was 5 km/h slower than that of the bus after traveling 200 km at a speed of 25 km/h on the bus. Calculate his average speed over the entire trip.Solution
ATQ, Total time taken to cover the whole journey = (200/25) + (160/20) = 8 + 8 = 16 km Desired average speed = 360/16 = 45/2 = 22.5 km/h
Angles of a triangle are in the ratio 3 : 4 : 5. Find the sum of the largest and smallest angle of the triangle.
In a triangle ABC, AB = 13 cm, BC = 14 cm, and AC = 15 cm. Find the area of the triangle and the length of the altitude from vertex A to side BC.
If O is circumcentre of acute angled triangle ABC, if ∠ OBC = 150 then ∠BAC = ?
If G is the centroid and AD, BE, CF are three medians of ∆ABC with area 78 cm 2 , then the area of ∆BGF is?
In a rectangle PQRS, a point A is located inside the rectangle. The distances from A to three of the rectangle’s vertices are given as follows: AP = 8...
- In a ΔPQR, PS is the angle bisector of ∠RPQ. If PQ = 12 cm, RP = 21 cm and QR = 22 cm. Find the length of QS.
In the given figure, Ab = 30 cm and CD = 24 cm. What is the value (in cm) of MN?
The radius of base of a solid cylinder is 7 cm and its height is 21 cm. It is melted and converted into small bullets. Each bullet is of same size. Eac...
Relevant for Exams:
