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chetan2u
Two persons A and B run at constant speeds of a miles per hour and b miles per hour respectively. They start running toward each other at the same time from a distance of d miles. What is the speed of A and B?

(1) If A and B ran at speeds of a/2 and 2b respectively, they would take the same amount of time to meet.
(2) If they both ran at 1 mile per hour slower, they would take double the time to meet.

Hi all,

INFO from Q..


1) Both are running towards each other so resultant speed is the addition of both, a+b.

Solution


(1) If A and B ran at speeds of a/2 and 2b respectively, they would take the same amount of time to meet.
Sice time taken is same and the distance is also same, the resultant speed should be same..
so a+b= a/2 + 2b..
a/2 = b.. or a=2b..
we know the ratio of their speed, but not the value of a and b..
Insuff

(2) If they both ran at 1 mile per hour slower, they would take double the time to meet.
so 2d/(a+b)=d/(a+b-2)..
a+b=4..
we just know the sum, but not individual speeds..
Insuff..

Combined--
a=2b and a+b=4...
two variables and two different linear equations..
Suff to find the value of variables
C
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