Question 60
To reach point B from point A, at 4pm, Sara will have to travel at an average speed of 18 kmph. She will reach point B at 3 pm if she travels at an average speed of 24 kmph. At what average speed should Sara travel to reach point B at 2 pm ?
Solution
average speed = (total distance ) /(total time)
Let her time taken to finish race with 18km/hr average speed be y hours
And distance covered in both cases is same
So
D = 18 × y.....(1)
D = 24 x (y-1)....(2)
From equation 1 and 2
y = 4 hours
And D = 72 km
Now if she need to reach at 2pm i.e in 2 hours then the average speed = 72/2 = 36 km/hr
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