Question : A man travelled a distance of 150 km in 18 hours. He travelled partly on foot at 5 km/hr and partly on bicycle at 10 km/hr. What is the distance travelled on a bicycle?
Option 1: 120 km
Option 2: 30 km
Option 3: 100 km
Option 4: 70 km
Correct Answer: 120 km
Solution :
Total distance = 150 km
Total time = 18 hours
Speed when travelled by foot = 5 km/hr
Speed when travelled by bicycle = 10 km/hr
Let the distance travelled by bicycle = $x$ km
Distance travelled by foot = $150-x$ km
Time travelled by bicycle + time travelled by foot = total time
⇒ $\frac{x}{10} + \frac{150-x}{5} = 18$
⇒ $\frac{x+300-2x}{10} = 18$
⇒ $-x+300 = 180$
⇒ $x = 120$
Hence, the correct answer is 120 km.
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