On a two-lane road, car A travelling with a speed of `15ms^-1` is approached by two cars B and C moving with speed 20 `ms^-1` each in opposite directions. At an instant when the distance AB is equal to AC , both being 700 m, B decides to overtake A before C does. Find the minimum acceleration required by B to avoid accident.

Onna two-lane road, car A is travelling with a speed of 36 km h_1. Two care B and C approach car A in opposite directions with a speed of 54'km h_1 each. vAt a certain instant, when the distance AB is equal to AC, both being 1 km,* B’ decides to overtake A before C does. What minimum acceleration of car B is required to avoid an accident?

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 km h~1 in the direction A to B notices that a bus goes past him every 18 min in the direction of his motion, and every 6 min in the opposite direction. What is the period T of the bus service and with what speed - (assumed constant) do the buses ply on the road?

Work Problem related to speed, distance and time Two places A and B are at distance 160km . Two cars starting form tha same place and moving in the same direction meet after eight hours. Again moving in the oppoosite directions from A to B. The cars meet each other after one hour. Find the speed of the cars.

Two trains A and B of length 400 m each are moving on two parallel tracks with a uniform speed of 72 km h^-1 in the same direction, with A ahead of B. The driver of B decides to overtake A and accelerates by 1 m//s^-2 . If after 50 s, the guard of B just brushes past the driver of A, what was the original distance between them?

Form the pair of linear equations in the following problems and find their solutions (if they exist) by any algebraic method:Places A and B are 100km apart on a highway.One car starts from A and another from B at the same time.If the car travel in the direction at different speeds,they meet in 5 hours.If they travel towared each other,they meet in 1 hour .What are the speeds of the two cars?