Question
The distance between points X and
Y is in the ratio of 16:9 compared to the distance between points Y and Z. A person P travels from X to Y at a speed of '4y'km/h and from Y to Z at a speed of '5y'km/h. What is the ratio of the time taken by P to travel from X to Y and from Y to Z?Solution
ATQ, Let the distance between points ‘X’ and ‘Y’ = 16x km Then, distance between points ‘Y’ and ‘Z’ = 9x km Time taken by Person 'P' to travel from ‘X’ to ‘Y’ = (16x/4y) = 4 × (x/y) hours Time taken by Person 'P' to travel from ‘Y’ to ‘Z’ = (9x/5y) = 1.8 × (x/y) hours So, required ratio = 4:(1.8) = 20:9
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