A train travels the first 15 km at a uniform speed of 30 km/h; the next 75 km at a uniform speed of 50 km/h and the last 10 km at a uniform speed of 20km/h. Calculate the average speed
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Answer:
The Average Speed is 40 km/hr.
Explanation:
Distance 1 = 15 km
Speed 1 = 30 km/hr
Time 1 = Speed = Distance/Time
= 30 = 15/T
= 30T = 15
= T = 0.5 hr
Distance 2 = 75 km
Speed = 50 km/hr
Time 2 = Speed = Distance/Time
= 50 = 75/T
= 50T = 75
= T = 1.5 hr
Distance 3 = 10 km
Speed 3 = 20 km/hr
Time 3 = Speed = Distance/Time
= 20 = 10/T
= 20T = 10
= T = 0.5 hr
∴ Average Speed = Total Distance Covered/Total Time Taken
= (15+75+10) / (0.5+1.5+0.5) km/hr
= 100/2.5 km/hr
= 40 km/hr
Hope this helps.
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