Its a good trap Question , if you don't use the all the details given in the question.
Option C is the Correct the Choice
Given, Rajesh and Pihu are travelling in opposite direction.
Circumference(total Distance) = 300
Asked , when Rajesh and Pihu will meet ?
Statement 1 = Ratio of their speed 3:2
Now as we know time travel to reach the first meeting point will be same for both of them hence we have
\(\frac{D1}{S1}\) = \(\frac{D2}{S2}\) ........(I)
Where D1 is the distance travel by rajesh and S1 is the speed of rajesh and D2 is the distance travel by Pihu and S2 is the speed of Pihu.
Also D1 + D2 = 300 as we know both are travelling in opposite direction and total distance/circumference is 300 .......(II)
From the first equation we have
\(\frac{D1}{D2}\) =\(\frac{S1}{S2}\)
= \(\frac{D1}{D2}\) =\(\frac{3}{2}\) .......(III)
2 Equation 2 variables for D1, D2 and hence using equation (II) and (III) we can find the value of D1 and D2 but we dont know the values of S1 or S2. hence we cannot determine the value of time.
Statement 1 is not sufficient
Statement 2 = Only speed of Pihu can be calculated and no information is given about the Speed of rajesh or the distance traveled by any one of them or both.
Hence Insufficient
Combining both , we can calculate the time to reach the meeting point for Pihu and this time will going to be same for rajesh also.
hence
Correct Choice is Option Cplease hit the
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