Question

55. Satish travels a distance of 36 kilometers in 5 hours. He travels a part of the distance on foot (walking) at
an average speed of 4 km/hr and rest of the distance on bicycle at an average speed of 12 km/hr. The
distance travelled on bicycle is​

Answer 1

Answer:

total distance travelled by Satish =36km

Step-by-step explanation:

time taken =5 hrs

he travels a part of the distance on foot 4km by 1hr =36km _4km =32km 4hrs

distance covered on bicycle 12 km by 1hr

32km _12km =20km 3hrs

Answer 2

Step-by-step explanation:

Given :-

Satish travels a distance of 36 kilometers in 5 hours. He travels a part of the distance on foot (walking) at an average speed of 4 km/hr and rest of the distance on bicycle at an average speed of 12 km/hr.

To find :-

Find the distance travelled on bbicycle?

Solution :-

Given that

Total distance travelled by Satish in 5 hours = 36 km

Given that

He travels a part of the distance on foot (walking) at an average speed of 4 km/hr

Let The distance travelled by Satish on foot be X km

We know that

Distance = Speed×time

Time = Distance /Spees

=> Time = X/4

Time taken on foot = X/4 hours

and

rest of the distance on bicycle at an average speed of 12 km/hr.

We know that

Distance = Speed×time

Time = Distance /Spees

= > Time = (36-X)/12

Time taken by bicycle = (36-X)/12 hours

Total time for journey = 5 hours

Time taken on foot + Time taken on bicycle = 5 hours

=> (X/4) + (36-X)/12 = 5

LCM of 4 and 12 is 12

=> [3X+(36-X)]/12 = 5

=> (3X-X+36)/12 = 5

=> (2X+36)/12 = 5

=> 2X+36 = 5×12

=> 2X +36 = 60

=> 2X = 60-36

=>2X = 24

=> X = 24/2

=> X = 12

The distance travelled by Satish on foot = 12 km

The distance travelled by Satish On bicycle = 36-12 = 24 km

Answer:-

The total distance travelled by Satish on bicycle = 24 km

Used formulae:-

• Distance = Speed×Time

• Speed = Distance / Time

• Time = Distance /Speed