A car travels up a hill at a constant speed of 37 km/h and returns down the hill at a constant speed of 66 km/h. Calculate the average speed for the whole trip
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Answer:
Average speed = 45.74 km/h (approximately ) .
Explanation:
Define
t1= time spent going up hill .
t2=time spent going down the hill.
Distance going up hill = 35km/h × t1 hr
Distance going down hill = 66km/h×t2 hr
since the distance are equal --
35t1= 66t2
Suppose that it was a really long hill that took 66h to go up.
In this case it would take 35h to go down . The total time taken would be --
66+35 = 101 hr
and
the total distance covered would be
35km/h × 66 hr + 35km/h × 35hr
= 4620km
and
the average speed would be
4620km/ 101hr = 45.74 km/h Ans.
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