An easy problem (If your basics are clear)

Algebra Level 3

A and B walk from X to Y which is a distance of 27 kms at a speed of 5 km/h and 7 km/h respectively. After reaching Y, B turns and meets A at Z. What is the distance from X to Z?


The answer is 22.5.

Mehul Arora by Mehul Arora , 20, India

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2 solutions

Bk Lim
Dec 18, 2014

When they meet, they cover 54km of distance in total.

B covers 5/12 x 54 = 22.5km

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Mehul Arora
Dec 6, 2014

Let the distance from Y to Z be x.

Since A covers (27-x) kms and B covers (27+x)kms in the same time, We can frame the equation as,

(27-x)/5=(27+x)/7

7(27-x)=5(27+x)

189-7x=135+5x

12x=54

x=4.5kms

Therefore the distance from X to Z = 27-4.5 = 22.5kms.

And we are done. Phew! Hope this solution explained it all correctly.

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