Question
Two individuals, Q and P, travel from point X to point Y at
different speeds. Q takes 7 hours to complete the journey, while P takes 9 hours. The difference in their speeds is 5 km/h, with one traveling faster than the other. Determine the distance between points X and Y.Solution
ATQ;
Let P's speed = 'a' km/h,
Q's speed = (a + 5) km/h
Time ratio = P: Q = 9 : 7
Speed ratio = 7 : 9
Using given speed difference,
a = 17.50 km/h
Distance = Speed × Time = 17.50 × 9 = 157.50 km
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