Question

A car travel 100 km in 2 hrs and another car travel 50 km in 1hrs. Find the average speed of car ​

Answer 1

Answer:

Explanation:

Let the distance travelled at 100 km/hr be x km.

Then, distance travelled at 50 km/hr is (170 - x) km.

Given,  

100

x

​

+  

50

(170−x)

​

=2

⇒  

100

x+2(170−x)

​

=2⇒x+240−2x=200

⇒x=140km.

∴ Distance travelled at 50 km/hr =(170−140)km=30km

Answer 2

Statement of the given problem,

A car travels 100 km east in 2 hours. If it travels 50 km south in 1 hour, what is the average velocity?

Let

AV denotes the magnitude of resultant or average velocity.

θ denotes the angle between directions of average velocity and East.

Hence from above data we get,

AV = √[(100/2)^2 + (50/1)^2] or AV = 50*√2 = 70.71 (km/hr) [Ans]

tan θ = (50/1)/(100/2) or tan θ = 1 = tan 45° or θ = 45° (South of East) [Ans]

hope this helps you, have a great day ;)