A boy covers a distance of 30 km in 5 hours partly on foot at the rate of 3.5 kmph and partly on cycle at 9kmph. Find the distance covered on foot.

Answers (1)

Let the distance covered on foot be x km.
Then, the distance covered on bicycle= (30-x)km
Time taken to cover x km at 3.5 kmph = fracx3.5hours
Time taken to cover (30-x) km at 9kmph = (frac30-x9)hours
	herefore fracx3.5+frac30-x9=5 

Rightarrow frac10x35+frac30-x9=5
Rightarrow frac90x+35(30-x)315=5

Rightarrow 90x+1050-35x=1575

Rightarrow 55x=525

Rightarrow x=9.54

Hence the distance covered by foot is 9.54 km.

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