Question : A man travelled a distance of 80 km in 7 hours, partly on foot at the rate of 8 km/hr and partly on bicycle at 16 km/hr. The distance travelled on the foot is:
Option 1: 32 km
Option 2: 48 km
Option 3: 36 km
Option 4: 44 km
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Correct Answer: 32 km
Solution :
Given: A man travelled a distance of 80 km in 7 hours.
He travelled partly on foot at 8 km/hr and partly on bicycle at 16 km/hr.
Let the time taken on foot be $x$ hours.
Distance = Speed $×$ Time
So, distance travelled on foot = $8x$ km
The time taken on the bicycle is $(7-x)$ hours.
Distance travelled on bicycle = $16×(7-x)$ km
Total distance = $8x+16(7-x)$ km
According to the given condition,
$8x+16(7-x) = 80$
⇒ $8x+112-16x = 80$
⇒ $112-80 = 8x$
⇒ $x=\frac{32}{8}=4$
So, the distance travelled on foot = 8$×$4 = 32 km
Hence, the correct answer is 32 km.
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