2.2
A car travels a distance of 2000 m. If the first half
distance is covered at 40 km'hour and the second half
at velocity v and if the average velocity is 48 km
hour then the value of v is.
(A) 56 km hour
(B) 60 km hour
(C) 50 km hour
(D) 48 km hour
Answers
Answered by
0
Answer:
Explanation:
velocity is V = Distance / Time
average velocity is V = Total Distance Traveled / Total Time Taken
Total journey took (T = Distance / Velocity)
2000 / 48 = 125/3 = 41.66666 hours
1st half of the journey took (T = Distance / Velocity)
1000 / 40 = 25 hours
So the other half of the journey took (Average Velocity = Total Distance Traveled / Total Time Taken)
48 = (1000 + 1000) / (25 + t)
-->Cross multiply and solve
48t = 2000 - (48 x 25)
t = (800 / 48)
t = 50/3 = 16.666666 hours
2nd half of the journey (V = Distance / Time)
1000 / 16.666666 = 60 km/hr
To check if all of this is true find the average velocity
(1000 + 1000) / (25 + 16.666666) = 48 km/hr.
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