Question
A journey over a certain distance takes 4 hours longer
when traveling at a speed of 12 km/h compared to traveling at a speed of 16 km/h. Determine the time required to cover 125% of this distance at a speed of 20 km/h.Solution
ATQ, Let the distance travelled = ‘d’ km Then, according to the question, (d/12) = (d/16) + 4 Or, (d/12) = {(d + 64)/16} Or, 16d = 12d + 768 So, d = 768 ÷ 4 = 192 So, 125% of the distance = 192 × 1.25 = 240 km And so, time taken to travel 240 km at 20 km/h = (240/20) = 12 hours
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