Question

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 the
two cities? Find the speeds of the car and van.​

Answer 1

Step-by-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

=

2×40

x

=

80

x

hr. . . . .(1)

The time taken to complete another half distance with velocity u=60km/h

t

2

=

2×60

x

=

120

x

hr

The total time taken, t=t

1

+t

2

t=

80

x

+

120

x

=

48

x

hr

The average speed of the car,

v

avg

=

x/48

x

=48km/h