A car covers the distance between two cities in 6 hours. A van covers the same distance in 5.5 hours by travelling 4km/hour faster than the car. What is the distance between thetwo cities? Find the speeds of the car and van.

A car covers the distance between two cities in 6 hours. A van covers

1.	A car covers the distance between two cities in 6 hours. A van covers the same distance in 5.5 hours by travelling 4km/hour faster than the car. What is the distance between thetwo cities? Find the speeds of the car and van.
Answer» -step explanation:Letx consider, x= TOTAL distance covered by the car,Time taken to complete the HALF distance with velocity v=40km/h,t 1 = 2×40x = 80x hr. . . . .(1)The time taken to complete ANOTHER half distance with velocity u=60km/ht 2 = 2×60x = 120x hrThe total time taken, t=t 1 +t 2 t= 80x + 120x = 48X hrThe average SPEED of the car, v avg = x/48x =48km/h