A boy walks to a picnic spot from his house in 6 hours, but he can travel the same distance on his cycle in 2 hours. If his average cycling speed is 7 kms per hour faster than his average walking speed, find his average walking speed and his average cycling speed.
Answers
Given:
The Total time is taken to reach the picnic spot by walking = 6 Hours
The total time is taken to reach the picnic sport by cycle = 2 hours
And the difference between the average cycling speed and average walking speed is 7kms per hour.
To Find:
We have to find the average walking and the average cycling speed of the boy.
Solution:
As we need to find the average speed so at first, we need the distance between the starting point and the picnic spot.
As it is not provided we can assume the distance to be as X
Now, by using the given values we can calculate the value of X
# Average speed= TOTAL DISTANCE DIVIDED BY THE TOTAL TIME TAKE.
So, the average speed of the boy while walking = X/6
the average speed of the boy while cycling = X/2
And, as per the given information; X/2 - X/6 = 7
By taking 6 as the LCM of the fractions we can solve the value for X.
X/2 - X/6 = 7
=> 3X - X = 7
6
=> 3X - X = 7x6
=> 3X - X= 42
=> 2X = 42
=> X =21
So, after solving the value for the X we get the total distance the boy has travelled.
Hence the boy has travelled a distance of 21km.
Now, The Average speed of the boy while walking= Total distance Km/hr
6hour
= 21/6
Avg.speed = 3.5km/hour
The average speed of the boy while cycling= Total Distance km/hr
2hour
= 21/2
Avg.speed= 10.5 Km/hour
So, the average speed while walking is 3.5 Km/hr
the average speed while cycling is 10.5 Km/hr