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Question

To go home on Christmas Eve, Vinay travels by Bus at 80 km/hr (yes Bangalore bus service is awesome) from office to Bangalore Airport for (13)3 of the total time. Then he travels by flight at 700 km/hr for next (13)3 of time to reach Chennai Airport. Then he takes a cab to his house which travels at 120 km/hr (since its midnight). Find his average speed for the entire journey.


A

700 km/hr

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B

100 km/hr

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C

300 km/hr

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D

80 km/hr

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Solution

The correct option is C

300 km/hr


Let's assume the total time in the journey be T hours.

Trip 1

Office to Bangalore Airport

t1=T3

s1=80km/hr

Distance from office to bangalore airport d1=s.t=80

Trip 2

Bangalore airport to Chennai airport

t2=t3

s2 = 700 km/hr

distance from Bangalore airport to Chennai airport

d2 = s.t = 700

Trip 3

Chennai Airport to home

t2 = T/3

s3 = 120 km/hr

distance from Chennai Airport to home

d3 = s.t = 120

Average speed = 300 km/hr

Average speed = 300 km/hr


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