Question

A boy covers a distance of 20 km in 5/2 hours, partly on foot at a rate of 5 km/h and partly
on bicycle at a rate of 10 km/h. Find the distance covered on foot.​

Answer 1

Answer:

Consider the time taken for the distance travelled by foot as x

Then, the time taken for the distance travelled by bicycle as (2.5 - x)

Total \ distance = Distance \ travelled \ by \ the \ foot + Distance \ travelled \ by \ bicycleTotal distance=Distance travelled by the foot+Distance travelled by bicycle

We know that,

Distance = Velocity \times TimeDistance=Velocity×Time

20 \Rightarrow(5 x+10(2.5-x)) \rightarrow(i)20⇒(5x+10(2.5−x))→(i)

20 \Rightarrow(5 x+25-10 x)20⇒(5x+25−10x)

(20-25) \Rightarrow(-5 x)(20−25)⇒(−5x)

-5 \Rightarrow-5 x−5⇒−5x

x=1x=1

The distance travelled by the foot at the rate of 5 km/hr,

Distance = Velocity \times TimeDistance=Velocity×Time

Then,

The \ distance \ travelled \ by \ the \ foot =5 \times xThe distance travelled by the foot=5×x

=5 \times 1=5×1

Therefore, Distance travelled by the foot = 5 km

Answer 2

Answer:

The "distance covered by the boy" on foot is 5 kilometers.

Given:

Total distance covered by the boy is 20 km

"Partly on foot" at the rate of 5 km/h

"Partly on bicycle" at the rate of 10 km/h

To find:

Distance covered on foot.

Solution:

Consider the time taken for the distance travelled by foot as x

Then, the time taken for the distance travelled by bicycle as (2.5 - x)

Total \ distance = Distance \ travelled \ by \ the \ foot + Distance \ travelled \ by \ bicycleTotal distance=Distance travelled by the foot+Distance travelled by bicycle

We know that,

Distance = Velocity \times TimeDistance=Velocity×Time

20 \Rightarrow(5 x+10(2.5-x)) \rightarrow(i)20⇒(5x+10(2.5−x))→(i)

20 \Rightarrow(5 x+25-10 x)20⇒(5x+25−10x)

(20-25) \Rightarrow(-5 x)(20−25)⇒(−5x)

-5 \Rightarrow-5 x−5⇒−5x

x=1x=1

The distance travelled by the foot at the rate of 5 km/hr,

Distance = Velocity \times TimeDistance=Velocity×Time

Then,

The \ distance \ travelled \ by \ the \ foot =5 \times xThe distance travelled by the foot=5×x

=5 \times 1=5×1

Therefore, Distance travelled by the foot = 5 km

Step-by-step explanation:

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