A body covers half of its journey with the speed of 60 metre per second and the other half with the speed of 40 metre per second find the average speed during the whole journey
Answers
Let us denote the entire trip as 2L, so that it travels at 40 m/s for a distance of L and then at 60 m/s for another distance L. The time for the first L travelled is L/40 (time = displacement/velocity) and the time for the second L is L/60.
From this, you have that the total time for the trip is L/40+L/60 and the total distance being 2L, so just divide the distance by the time to find velocity.
V =(2L)/(L/40+L/60)
=(2L)/(3L/120+2L/120)
= (2L)/(5L/120)
= 240L/5L
= 48 m/s
Answer:48m/s
Explanation:
Let us denote the entire trip as 2x, so that it travels at 40 m/s for a distance of x and then at 60 m/s for another distance x. The time for the first x travelled is x/40
(time = displacement/velocity) and the time for the second x is x/60.
From this, you have that the total time for the trip is x/40+x/60 and the total distance being 2x, so just divide the distance by the time to find velocity.
V =(2x)/(x/40+x/60)
=(2x)/(3x/120+2x/120)
= (2x)/(5x/120)
= 240x/5x
= 48 m/s
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