During a journey of 200 km, a bus covers the first 120 km at 45 km/h and the remaining
distance at 60 km/h. Find its average speed.
Answers
Answer:
We know that, Speed = Distance / Time
So, time taken to travel first 150 km, t1 = Distance / Speed = 150 / 30 = 5 h
Time taken to travel next 60 km, t2 = Distance / Speed = 60 / 40 = 1.5 h
Total distance travelled = 210 km
Total time taken = t1 + t2 = 5 + 1.5 = 6.5 h
So, average speed = Total distance / Total time = 210 / 6.5 = 32.308 km/h
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Hossam Nasr
Updated October 12, 2018
you have to calculate the time for the 150 km and the 60 km separately, then divide total distance by total time.
calculation:
150÷30=5 hours
60÷40=1.5 hours
average speed=(150+60)÷(5+1.5)=32.3 km/h
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Louis M. Rappeport, B.S. from University of California, Berkeley (1983)
Answered September 15, 2018 · Author has 5.7K answers and 1.5M answer views
150 km/30 km/h=5 hours
60 km/40 km/h=3/2 hours
V=150+60 / 5+3/2
=210/ 13/2
=420/13
=32.307692 km/h average speed
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Neil Gordon
Answered November 16, 2019 · Author has 1.9K answers and 171.8K answer views
Distance = 150 km , Speed = 30 km, Therefore Time = 5 hours
Distance = 60 km, Speed = 40km/h, Therefore Time = 1.5 hours
Combined Journey Analysis
Combined Distance = 210 km, Combined Travel = 6.5 hours, Therefore Average Speed = 33.30 km/h
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Wayne Herbert, IT Project Manager, Problem Solver,and Polymath at Self-Employment (1997-present)
Answered September 15, 2018 · Author has 1.5K answers and 960.6K answer views
Is this a homework question? Break the question into parts. How long did it take the bus to travel the fist part of its journey at 30 kmh? How long for the second part? How long did it take to travel the entire distance? How long was the entire distance? You can take it from there.
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Luis Azevedo, works at Altice Labs
Answered September 15, 2018
150 km at 30km/h — 5h
60 km at 40km/h — 1,5h
So, you travelled 210km in 6,5h.
~32,3km/h
Or you can calculate the ponderared harmonic mean (Harmonic mean - Wikipedia) of these two values:
210/(150/30+60/40) = ~32,3
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