A and B walk from X to Y, a distance of 27 km at 5 kmph and 7 kmph respectively. B reaches Y and immediately turns
back meeting A at Z. What is the distance from X to Z?
(a) 25 km
(b) 22.5 km
(c) 24 km
(d) 20 km
Answers
Answered by
1
the answer should be 20km.
Answered by
3
Answer:
Distance of Z from point X will be option (b) 22.5 km
Step-by-step explanation:
Let the point Z is at h km from point Y
=> distance traveled by B = 27 + h
Given speed of B = 7 kmph
=> time taken by B = (27 + h)/7
similarly,
distance traveled by A = 27 - h
Given speed of A = 5 kmph
=> time taken by A = (27 - h)/5
Hence,
(27 + h)/7 = (27 - h)/5
=> 135 + 5h = 189 - 7h
=> 12h = 54
=> h = 4.5 km
Hence distance of Z from point X = 27 - 4.5 = 22.5
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