Question

A car travels from town A to town B that is 150 km away in 3 hours and from town B to town
C which is 120 km away in 2 hours. Find the average speed of the car.​

Answer 1

${\large{\pmb{\sf{\underline{Required \: solution...}}}}}$

${\bigstar \:{\pmb{\sf{\underline{About \: question...}}}}}$

⋆ Correct question: A car travels from town A to town B that is 150 km away in 3 hours and from town B to town C which is 120 km away in 2 hours. Find the average speed of the car.

⋆ Understanding the question: This question says that we have to find out the average speed of the car which is travelling from town A to town B that is 150 km away in 3 hours and from town B to town C which is 120 km away in 2 hours. Let us solve this question!

${\bigstar \:{\pmb{\sf{\underline{Given \: that...}}}}}$

⋆ Car travels from town A to town B that is 150 km away in 3 hours.

⋆ Now the car travels from town B to town C that is 120 km away in 2 hours.

${\bigstar \:{\pmb{\sf{\underline{To \: find...}}}}}$

⋆ The average speed of the car

${\bigstar \:{\pmb{\sf{\underline{Solution...}}}}}$

⋆ The average speed of the car = 54 m/s

${\bigstar \:{\pmb{\sf{\underline{Using \: concept...}}}}}$

⋆ Formula to find the average speed

${\bigstar \:{\pmb{\sf{\underline{Using \: formula...}}}}}$

• Average speed = Total distance /Total time

• If an object travels a distance s in time t then it's speed v is

• v = s/t

${\bigstar \:{\pmb{\sf{\underline{Full \; Solution...}}}}}$

~ As it's given there are two distances and two time taken. So to solve this question we just have to add distance with distance first then we have to add time with time. Afterwards we have to use formula to find out the average speed. Let's do it!

Firstly finding total distance!

»»» Total Distance = Distance of town A to B + Distance of town B to C

»»» Total Distance = 150 + 120

»»» Total Distance = 270 km

Now finding total time!

»»» Total time = Time taken from town A to B + Time taken from town B to C

»»» Total time = 3 + 2

»»» Total time = 5 hours

Now finding average speed!

»»» v = s/t

»»» v = 270/5

»»» v = 54 m/s

»»» Average speed = 54 m/s

${\bigstar \:{\pmb{\sf{\underline{Learn \: more...}}}}}$

Distance = It is the length of actual path covered by a moving object in a given time interval.

Displacement = Shortest distance covered by a body in a definite direction is called displacement.

→ Displacement may be positive, negative or zero whereas distance is always positive.

→ Distance is a scaler quantity whereas displacement is a vector quantity both having the same unit.

→ In general magnitude of displacement ≤ Distance.

Speed = Distance travelled by a moving object in unit time interval is called speed i.e., speed Distance/Time. It's scaler quantity and it's SI unit is metre/second

Velocity = Velocity of moving object is defined as the displacement of the object in unit time interval i.e., velocity = Displacement/Time. It's vector quantity and it's SI unit is metre/second.

Acceleration = Acceleration of an object is defined as the rate of change of velocity of the object i.e., Acceleration = Change in velocity/Time. It's vector quantity and SI unit is m/s²