A boy travelled 30km in 9 hours. He travelled part of the distance on foot at 3 km/h and the remaining distance on bicycle at 6 km/h. What is the distance travelled by the boy on foot?Question 4Answera.24kmb.36kmc.48kmd.52km
Question
A boy travelled 30km in 9 hours. He travelled part of the distance on foot at 3 km/h and the remaining distance on bicycle at 6 km/h. What is the distance travelled by the boy on foot?Question 4Answera.24kmb.36kmc.48kmd.52km
Solution
Let's denote the distance travelled on foot as x (in km) and the distance travelled by bicycle as 30 - x (since the total distance is 30 km).
We know that the time spent for each part of the journey is the distance divided by the speed. So, the time spent on foot is x/3 hours and the time spent on bicycle is (30 - x)/6 hours.
According to the problem, the total time spent is 9 hours. So, we can write the equation:
x/3 + (30 - x)/6 = 9
To solve this equation, we first multiply every term by 6 to get rid of the denominators:
2x + 30 - x = 54
Simplifying this gives:
x = 24
So, the boy travelled 24 km on foot. Therefore, the answer is (a) 24 km.
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