141661 An engine of a train moving with uniform acceleration, passes the signal-post with velocity \(u\) and the last compartment with velocity \(v\). The velocity with which middle point of the train passes the signal post is

141662 Two cars \(A\) and \(B\) are moving with a velocity of \(30 \mathrm{kmph}\) in the same direction. They are separated by \(10 \mathrm{~km}\). The speed of another car \(\mathrm{C}\) moving in the opposite direction, if it meets these two cars at an interval of eight minutes is-

141663 Two towns \(A\) and \(B\) are connected by a regular bus service with a bus leaving in either direction every \(T\) minutes. A man cycling with a speed of \(20 \mathrm{~km} / \mathrm{h}\) from \(A\) to \(B\) notices that a bus travelling in the direction of his motion goes past him every 18 minutes and every 6 minutes he notices a bus travelling in the opposite direction go past him. Assuming that the busses travel with a constant speed, find \(T\) and the constant speed of the buses.

141664 If a \(100 \mathrm{~m}\) long train needs \(\mathbf{7 . 2}\) seconds to cross an object moving in a direction opposite to the train's direction with a speed of \(5 \mathrm{kmph}\), then find the velocity of the train

141661 An engine of a train moving with uniform acceleration, passes the signal-post with velocity \(u\) and the last compartment with velocity \(v\). The velocity with which middle point of the train passes the signal post is

141662 Two cars \(A\) and \(B\) are moving with a velocity of \(30 \mathrm{kmph}\) in the same direction. They are separated by \(10 \mathrm{~km}\). The speed of another car \(\mathrm{C}\) moving in the opposite direction, if it meets these two cars at an interval of eight minutes is-

141663 Two towns \(A\) and \(B\) are connected by a regular bus service with a bus leaving in either direction every \(T\) minutes. A man cycling with a speed of \(20 \mathrm{~km} / \mathrm{h}\) from \(A\) to \(B\) notices that a bus travelling in the direction of his motion goes past him every 18 minutes and every 6 minutes he notices a bus travelling in the opposite direction go past him. Assuming that the busses travel with a constant speed, find \(T\) and the constant speed of the buses.

141664 If a \(100 \mathrm{~m}\) long train needs \(\mathbf{7 . 2}\) seconds to cross an object moving in a direction opposite to the train's direction with a speed of \(5 \mathrm{kmph}\), then find the velocity of the train

141661 An engine of a train moving with uniform acceleration, passes the signal-post with velocity \(u\) and the last compartment with velocity \(v\). The velocity with which middle point of the train passes the signal post is

141662 Two cars \(A\) and \(B\) are moving with a velocity of \(30 \mathrm{kmph}\) in the same direction. They are separated by \(10 \mathrm{~km}\). The speed of another car \(\mathrm{C}\) moving in the opposite direction, if it meets these two cars at an interval of eight minutes is-

141663 Two towns \(A\) and \(B\) are connected by a regular bus service with a bus leaving in either direction every \(T\) minutes. A man cycling with a speed of \(20 \mathrm{~km} / \mathrm{h}\) from \(A\) to \(B\) notices that a bus travelling in the direction of his motion goes past him every 18 minutes and every 6 minutes he notices a bus travelling in the opposite direction go past him. Assuming that the busses travel with a constant speed, find \(T\) and the constant speed of the buses.

141664 If a \(100 \mathrm{~m}\) long train needs \(\mathbf{7 . 2}\) seconds to cross an object moving in a direction opposite to the train's direction with a speed of \(5 \mathrm{kmph}\), then find the velocity of the train

141661 An engine of a train moving with uniform acceleration, passes the signal-post with velocity \(u\) and the last compartment with velocity \(v\). The velocity with which middle point of the train passes the signal post is

141662 Two cars \(A\) and \(B\) are moving with a velocity of \(30 \mathrm{kmph}\) in the same direction. They are separated by \(10 \mathrm{~km}\). The speed of another car \(\mathrm{C}\) moving in the opposite direction, if it meets these two cars at an interval of eight minutes is-

141663 Two towns \(A\) and \(B\) are connected by a regular bus service with a bus leaving in either direction every \(T\) minutes. A man cycling with a speed of \(20 \mathrm{~km} / \mathrm{h}\) from \(A\) to \(B\) notices that a bus travelling in the direction of his motion goes past him every 18 minutes and every 6 minutes he notices a bus travelling in the opposite direction go past him. Assuming that the busses travel with a constant speed, find \(T\) and the constant speed of the buses.

141664 If a \(100 \mathrm{~m}\) long train needs \(\mathbf{7 . 2}\) seconds to cross an object moving in a direction opposite to the train's direction with a speed of \(5 \mathrm{kmph}\), then find the velocity of the train