Question

a boy covers a distance of 20 km in 5/2 h,partly on foot at the rate of 5 km/h and partly on bicycle at the rate of 10 km/h.find tge distance coverd on foot.

Answer 1

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)

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

We know that,

$Distance = Velocity \times Time$

$20 \Rightarrow(5 x+10(2.5-x)) \rightarrow(i)$

$20 \Rightarrow(5 x+25-10 x)$

$(20-25) \Rightarrow(-5 x)$

$-5 \Rightarrow-5 x$

$x=1$

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

$Distance = Velocity \times Time$

Then,

$The \ distance \ travelled \ by \ the \ foot =5 \times x$

$=5 \times 1$

Therefore, Distance travelled by the foot = 5 km

Answer 2

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