A man travelled a distance of 61 km in 9 hours, partly on

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A man travelled a distance of 61 km in 9 hours, 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 was

1. 12 km
2. 16 km
3. 20 km
4. 24 km

Correct Option: B

Let man walked for t hours.
then, t × 4 + (9 – t) × 9 = 61
⇒ 4t + 81 – 9t = 61
⇒ 81 – 5t = 61
⇒ 5t = 20
⇒ t = 4
∴ Distance travelled on foot
= 4 × 4 = 16 km.