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Total Distance = 100 KiloMeters
Case 1:
Distance = 30 Km
Speed = 30 kmph
Time = Distance/Speed = 30/30 = 1 hour
Case 2:
Distance = 70 Km
Let Speed for this case be x kmph
Time = distance/speed = 70/x hours
Now, Average speed for the entire journey is 40 kmph
but, average speed is given by total distance/total time = (30 + 70)/(1+70/x) = 100 / {(1x + 70)/x}.
=> 100/{(x + 70)/x} = 40
=> 100 = 40[{x + 70}/x]
=> 100 = (40x + 2800)/x
=> 100x - 40x = 2800
=> 60x = 2800
=> x = 2800/60 = 46.66 kmph
Hence, the speed for the next 70 km should be 46.66 kmph so that the average speed for the entire journey is 40kmph....
....hope this helps.....do rate and mark as brainiest if this helps you.....comment if you have any doubts.....
Case 1:
Distance = 30 Km
Speed = 30 kmph
Time = Distance/Speed = 30/30 = 1 hour
Case 2:
Distance = 70 Km
Let Speed for this case be x kmph
Time = distance/speed = 70/x hours
Now, Average speed for the entire journey is 40 kmph
but, average speed is given by total distance/total time = (30 + 70)/(1+70/x) = 100 / {(1x + 70)/x}.
=> 100/{(x + 70)/x} = 40
=> 100 = 40[{x + 70}/x]
=> 100 = (40x + 2800)/x
=> 100x - 40x = 2800
=> 60x = 2800
=> x = 2800/60 = 46.66 kmph
Hence, the speed for the next 70 km should be 46.66 kmph so that the average speed for the entire journey is 40kmph....
....hope this helps.....do rate and mark as brainiest if this helps you.....comment if you have any doubts.....
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