. A person covers 18 km at 6 km/hr, 16 km at 8 km/
hr and 30 km at 6 km/ha. Then find the average
speed in covering the whole distance.
(a) 6.5 kim hr (6) 6.4 km/hr
Answers
Answer:
The average speed in covering the whole distance will be 6.4 km/hr.
Step-by-step explanation:
According to the question,
First, the person covers 18km at 6 km/hr
then he covers 16km at 8 km/hr
again covers 30km at 6 km/hr.
Step 1:- Now as we know the formula to find the average speed
i.e., Avg speed = Total Distance ÷ Total Time -------------- (i)
Step 2:- Have to find the Total Distance
∴ Total distance = sum of all distance covered
= ( 18 + 16 + 30 )km
= 64 km
Step 3:- Have to find the Total Time traveled,
∴ Total Time = sum of all time required to cover all distances
= ( ) km/hr
= 10 km/hr [after simplifying we get]
Step 4:- Now from equation (i),
∴ Avg speed = Total Distance ÷ Total Time
Avg speed = ( 64 ÷ 10 )
Avg speed = 6.4 km/hr.
∴ The average speed in covering the whole distance will be 6.4 km/hr.
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Answer:
The average speed in covering the whole distance is 6.4 km/hr.
Step-by-step explanation:
To find:-
The average speed in covering the whole distance.
According to the question,
A person covers 18 km at the speed of 6 km/hr.
So, the time taken to cover the distance of 18 km = distance /speed
= 18/6
= 3 hours
Also, a person covers 16 km at the speed of 8 km/hr.
So, the time taken to cover the distance of 16 km = distance /speed
= 16/8
= 2 hours
Similarly,
A person covers 30 km at the speed of 6 km/hr.
So, the time taken to cover the distance of 30 km = distance /speed
= 30/6
= 5 hours
Thus,
Total distance cover = 18 + 16 + 30
= 64 km
Total time taken = 3 + 2 + 5
= 10 hours
The average speed is,
= (Total distance covered)/(Total time taken)
= 64/10
= 6.4 km/hr
Therefore, the average speed in covering the whole distance is 6.4 km/hr.
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