Question

Kate cycles the first 350 km of a 470-km journey
at a certain average speed and the remaining
distance at an average speed that is 15 km/h
less than that for the first part of the journey.
If the time taken for her to travel each part of
her journey is the same, find the average speed
for the second part of her journey.​

Answer 1

Answer:

Let "x" be the average speed during 1st part of the journey, thus,

(x-15) be the average speed during other part of the journey.

Time Taken for 1st Part of Journey = 350 / x = 350/x hrs and

Time Taken for the 2nd part = (470-350) / (x-15) = 120 / (x-15) hrs

Since time taken for both the journeys, therefore,

350 / x = 120 / (x-15)

350(x-15) = 120x

350x-5250 = 120x

350x-120x = 5250

230x = 5250

x = 5250/230

x = 525/23 = 22.83 km/hrs approx. be the average speed for 1st journey thus x-15 = 22.83-15 = 7.83 km/hr is the average speed for the 2nd journey and hence this is the answer.

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