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Question
A and B walk from X to Y, a distance of 27 km at 5 km/hr and 7 km/hr, respectively, B reaches Y and immediately turns back meeting A at Z. What is the distance from X to Z?
Options
25 km
22.5 km
24 km
20 km
MCQ
Solution
22.5 km
Explanation:
XY = 27
XZ =?
Speed of A = 5 km/hr, speed of B = 7 km/hr
Let in time t hr B cover XY and return to Z and A cover XZ
ATQ
5t + 7t = 54
12t = 54
`"t"=54/12=9/2`
xz`=5xx9/2`= 22.5 km
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Time, Speed and Distance (Entrance Exam)
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