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Q.



Two persons 27 km apart, starting at the same time meet each other in 9 hours, if they walk in the same direction and 3 hours if they walk in opposite directions. Find their speed of walking.
 


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a

7km/hr, 8km/hr
      

b

3km/hr, 6km/hr
      

c

10km/hr, 5km/hr
      

d

3km/hr, 4km/hr
 

answer is B.

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Detailed Solution

There are two persons A and B and they are 27 km apart.
https://www.vedantu.com/question-sets/3e066186-2482-42ab-8d04-28622a3e7f2764425397588224129.png
We know that A has travelled 27km more than B
Question Image
distance travelled by A and B is, 3x and 3y.they were 27km apart.
Question Image
Then divided by 3
x + y = 9
Substituting the value of y from equation (1) we get
x + x + 3 = 9
x=3
substituting x = 3 in equation (1) we get y = x + 3 = 3 + 3 = 6.
Hence x = 3 and y = 6.
So, option 2 is correct.
 

 

 

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