A bus travelled 200 km in the first 3 hours and then 100 km for the next one and a half hours and then 120 km for the next one and a half hours. What is the average velocity of the bus if it has moved in a straight line for the whole journey?
a) 70 Km/hr
b)120 Km/hr
c)80 Km/hr
d)60 Km/hr
Answers
Answer:
time taken
Total distance travelled = 20 + 20 + 20 = 60 km
Total time taken = 1 +0.5 + = 2.5 h
Thus,
A v e r a g e space s p e e d space o f space b u s space equals space fraction numerator 60 over denominator 2.5 end fraction space equals space 24 space k m divided by h
Given,
A bus travels 200 km in first 3 hours.
100 km for next one and a half hours.
120 km for next one and a half hours.
But has moved in a straight line for the whole journey.
To find,
Average velocity of the bus.
Solution,
We can simply solve this numerical problem by using the following process.
Here, the bus has moved in a straight line. Which means -
Total travelled distance = Displacement
So,
Displacement = (200+100+120) km = 420 km
Total time of the journey = (3+1.5+1.5) hours = 6 hours
Now,
Average velocity :
= Displacement / Time
= (420/6) km/hr
= 70 km/hr
Hence, the average velocity of the bus is 70 km/hr. (option a)