The traffic police recorded the speed (in km/h) of 10 motors as 47, 53, 49,60,39,42,57,55,48, 52. Later on an error in the recording instrument was found. Find the correct mean speed of the motorists it if the instrument recorded the speed 6 km/h less in each case.

The traffic police recorded the speed (in km/hr) of 10 motorists as 47, 53, 49, 60, 39, 42, 55, 57, 52, 48. Later on an error in recording instrument was found. Find the correct average speed of the motorists if the instrument recorded 5 km/hr less in each case.

The traffic police recorded the speed (in km/hr ) of 10 motorists as 47,53,49,60,3942,55,57,52,48. Later on an error in recording instrument was found.Find the correct overage speed of the motorists if the instrument recorded 5km/hr less in each case.

The weights (in kg) of 10 boys from a team are recorded as follows : 55, 53, 48, 47, 54, 49, 64, 45, 55, 50. Find their mean weight.

In a steam running at 2 km/h, a motorboat goes 10 km upstream and back again to the starting point in 55 min. Find the speed of the motorboat in still water (A) 22 km/h (B) 32 km/h (c ) 42 km/h (D) 52 km/h

Two highways intersect as shown in Fig. 4-39. At the instant shown, a police car P is distance d_(p)=800m from the intersection and moving at speed v_(p)=80km//h . Motorist M is distance d_(M)=600m from the intersection and moving at speed v_(M)=60km//h . (a) In unit-vector notation, what is the velocity of the motorist with respect to the police car? (b) For the instant shown in Fig. 4-39, what is the angle between the velocity found in (a) and the line of sight between the two cars? (c ) If the cars maintain their velocities, do the answers to (a) and (b) change as the cars move nearer the intersection?

An urgent message had to be delivered from the house of the Peshwas in Pune to Shivaji who was camping in Bangalore. A horse rider travels on horse back from Pune to Bangalore at a constant speed. If the horse increased its speed by 6 km/h, it would take the rider 4 hours less to cover that distance. And travelling with a speed 6 km/h lower than the initial speed, it would take him 10 hours more than the time he would have taken had he travelled at a speed 6 kmph higher than the initial speed. Find the distance between Pune and Bangalore.

Two highways are perpendicular to each other : imagine them to be along the x-axis and the y-axis, respectively. At the instant t=0, a police car P is at a distance d= 400m from the intersection and moving at speed of 80km // h towards it along the x-axis. Motorist M is at a distance of 600m from the intersection and moving towards it at a speed of 60km // h along the y-axis . The minimum distance between the cars is