Question

a boy covers a distance of 20 km in 2 1/2 hour ,partly on foot at rate of 5km per hour and partly on bicycle at rate of 10km per hour. Find the distance covered on foot
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Answer 1

Answer:

Step-by-step explanation:

Let time taken to travel on foot = x

Then, time taken to travel on bicycle = (2.5 - x)

So,

5(x) + 10(2.5 - x) = 20

Solving, we get

x = 1

So, distance travelled on foot = 5 km

Hence, the boy covered 5 km on foot.

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Answer 2

Given:

Total Distance = 20 km

Total time taken = 5 km

Speed on foot = 5 km/h

Speed of bicycle = 10 km/h

To Find:

The distance on foot

Solution:

Define the variable:

Let the distance traveled on foot be x

Distance traveled by bicycle = 20 - x

Find the time taken to travel on foot:

Time = Distance ÷ Speed

Time = x/5 hour

Find the time taken to travel by bicycle:

Time = Distance ÷ Speed

Time = (20 - x)/10 hour

Given that the total time taken is 2.5 hour:

x/5 + (20 - x)/10 = 2.5

2x + (20 - x) = 25

2x + 20 - x = 25

x + 20 = 25

x = 5 km

Find the distance traveled on foot:

Distance traveled on foot = x

Distance traveled on foot = 5 km

Answer: 5 km