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Question

Quantitative Aptitude Question on Problem on Trains

A train travels the first 160 km at 64 km/hr and the next 160 km at 80 km/hr. What is the average speed of the train?

A

67.55 km/hr

B

71.11 km/hr

C

73.89 km/hr

D

69.38 km/hr

Answer

71.11 km/hr

Explanation

Solution

Speed for first160km160 km=64km/hr64 km/hr
Speed for next160km160 km=80km/hr80 km/hr
Time taken for first160km160 km=16064\frac{160}{64}=2.5hours2.5 hours
Time taken for next&160km160 km=16080\frac{160}{80}=2hours2 hours
Total time taken =(2.5+2)hours=4.5hours(2.5+ 2) hours = 4.5 hours
Total distance =&(160+160)=320km(160+160) = 320 km
Averagespeed=TotaldistanceTimetakenAverage speed =\frac{Total distance}{Time taken}
Averagespeed=3204.5Average speed = \frac{320}{4.5}=71.11km/hr71.11 km/hr
The average speed is 71.11km/hr\therefore \text{The average speed is } 71.11 km/hr
The correct answer is (B): 71.11 km/hr;