A man makes four trips of equal distances. His speed on first trip was 60 km/hr and in each subsequent trip his speed was half of the previous trip. What is the average speed (in km/hr) of the man in these four trips?
Let distance travelled in each trip = $$d$$ km
=> Total distance travelled = $$4d$$ km
Time taken in each trip = distance/speed
=Â $$\frac{d}{60}+\frac{d}{30}+\frac{d}{15}+\frac{d}{7.5}$$
= $$\frac{d}{7.5}(\frac{1}{8}+\frac{1}{4}+\frac{1}{2}+1)$$
= $$\frac{d}{7.5}(\frac{1+2+4+8}{8})$$
= $$\frac{d}{7.5}\times\frac{15}{8}=\frac{d}{4}$$
$$\therefore$$ Average speed = total distance / total time
= $$4d\div(\frac{d}{4})$$
= $$4d\times \frac{4}{d}=16$$
=> Ans - (A)
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