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Question

A train has a speed of 60 km/h for the first one hour and 40 km/h for the next half hour.Its average speed in km/h is

A
50
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B
53.33
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C
48
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D
70
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Solution

The correct option is B 53.33
train has a speed of 60km/h for the first one hour,
t1=1hr, v1=60km/hr
Distance covered by the train, d1=v1t1
d1=60×1=60km
For the next half hour, train has speed 40km/hr
v2=40km/hr, t2=0.5hr
d2=v2t2
d2=40×0.5=20km
Total distance, d=d1+d2
d=60+20=80km
Total time, t=t1+t2
t=1hr+0.5hr=1.5hr
Average speed, vavg=dt
vavg=80km1.5hr=53.33km/hr
The correct option is B.

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