a boy travels A to B with a constant speed 10 km\h and then from B to A with a speed of 20 km\h.Find the average seed of the body for the trip
Answers
Answer:
10km/h is the answer
Explanation:
Explanation:
Given :-
A boy travels A to B with a constant speed 10 km\h and then from B to A with a speed of 20 km\h.
To find :-
Find the average seed of the boy for the trip ?
Solution :-
10 km/hr ----->
A__________________B
<------ 20 km/hr
Let the distance from A to B be X km
The speed of the boy travels A to B = 10 km/hr
We know that
Distance = Speed × Time
=> Time = Distance / Speed
=> Time taken for traveling from A to B
=> X/10 hr.
And
The speed of the boy travels B to A = 20 km/hr
Time taken for traveling from B to A
=> X/20 hr
Total distance travelled by the boy =
Distance from A to B + Distance from B to A
=> X+X = 2X km
Total time taken for travelling = (X/10)+(X/20)
LCM of 10 and 20 = 20
=> (2X+X)/20
=> 3X/20 hr
Now , The average speed of the boy
=> Total distance / Total time
=> 2X/(3X/20)
=> 2X×(20/3X)
=> (2X×20)/(3X)
=> 40X/3X
=> 40/3 km /hr
=> 13 1/3 km/hr
Answer:-
The average speed of the boy in the trip is 40/3 km/hr or 13 1/3 km/hr
Used formulae:-
- Distance = Speed × Time