To save fuel , to avoid air pollution and for good health two persons A and B ride bicycle for a distance of 12 Km to reach their office. As the cycling speed of B is 2 km/h more than that of A, B takes 30 min less than that of A to reach the office. Find the time taken by A and B to reach the office.

An express train takes 1 hour less than a passenger train to travel 132 km between Mysore and Bangalore (without taking into consideration the time they stop at intermediate stations ). If the average speed of the express train is 11km/h more than that of the passenger train , find the average speed of the two trains.

Suppose a car starts from a place A and travels at a speed of 40 km/h towards another place B. At the same instance, another car starts from B and travels towards A at a speed of 30 km/h. If the distance between A and B is 100 km, after how much time will the cars meet?

Two discs of moments of inertia I_(1) and I_(2) about their respective axes (normal to the disc and passing through the centre), and rotating with angular speeds ω_(1) and ω_(2) are brought into contact face to face with their axes of rotation coincident. (a) What is the angular speed of the two-disc system? (b) Show that the kinetic energy of the combined system is less than the sum of the initial kinetic energies of the two discs. How do you account for this loss in energy? Take omega_(1)neomega_(2)

A train covered a certain distance at a uniform speed. If the train would have been 10 km/h faster, it would have taken 2 hours less than the scheduled time. And, if the train were slower by 10 km/h , it would have taken 3 hours more than the scheduled time. Find the distance covered by the train.

A train covered a certain distance at a uniform speed. If the train would have been 10 km/hr faster, it would have taken 2 hours less than the scheduled time and if the train was slower by 10 km/hr, it would have taken 3 hrs more than the scheduled time. Find the distance covered by the train.

A train covered a certain distance at a uniform speed. If the train would have been 10 km/hr faster, it would have taken 2 hours less than the scheduled time. And, if the train were solwer by 10 km/hr, it would have taken 3 hours more than the scheduled time. Find the distance. covered by train.

A courier-person cycles from a tower to a neighbouring suburban area to deliver a parcel to a merchant.His distance from the town at different times is shown by the following graph.(a)What is the scale taken for the time axis? (b)How much time did the person take for the travel? (c)How far is the place of the merchant from the town? (d)Did the person stop on his way?Explain. (e)During which period did he ride fastest?

A cyclist starts from the centre 'O' of a cicular park of radius 1 km, reaches the edge of the park, then cycles along the circumference up to the point Q and returns to the centre along QO as shown in the figure. If the round trip takes 10 min, what is the (a) Net displacement (b) average velocity and (c) average speed of the cyclist.