A 6 × 6 grid is cut from an 8 × 8 chessboard. In how many ways can we put two identical coins, one on the bl…

A gun is fired from a fort. A man hears the sound 10 seconds later. If the sound travels at the rate of 330 m/sec, find …

A train approaches a tunnel AB. Inside the tunnel is a cat located at a point that is $$\frac{3}{8}$$ of the distance AB…

A man on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. The average speed for the first 320 km o…

Vinay and Versha run a race with their speed in the ratio of 5 : 3. They prefer to run on a circular track of circumfere…

A train travels at a speed of 30 km/hr for 12 minutes and at a speed of 45 km/hr for the next 8 minutes. The average spe…

Mary jogs 9 km at a speed of 6 km per hour. At what speed would she need to jog during the next 1.5 hours to have an ave…

A car goes 20 metres in a second. Find its speed in km/hr.