Question

A car covers two fifths of a 150-km road with a velocity of 60 km/h east and then continues to cover
the rest towards the east in another hour. Find its average speed and average velocity (in km/h).
​

Answer 1

Answer:

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