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Q.

An explorer travelled a distance of 61 km in 9 hours. He travelled partly on foot at the rate of 4 km/hr. and partly on bicycle at the rate of 9 km/hr. The distance travelled on foot is

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a

16 km

b

14 km

c

15 km

d

7 km

answer is A.

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Detailed Solution

Let the distance travelled on foot is x km.

∵Distance travelled on bicycle = 61 - x 

According to question,

x4+61−x9=9⇒9x+4(61−x)=9×36⇒9x+244−4x=324⇒5x=80⇒x=16km

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