Two particles are projected simultaneously towards each other from opposite ends of a straight horizontal tube. One particle travels 97 cm in the 1st 2 seconds, 93 cm in next 2 seconds , 89 cm in

another next 2 seconds, etc. The other particle travels 49 cm in the 1st 2 seconds, 47 cm in the next 2

seconds , 45 cm in another next 4 seconds, etc. Find how long it takes for the particles to meet and

hence, determine the distances travelled by each particle.