The following question is accompanied by three statements (I), (II), and (III). You have to determine which statements(s) is/are sufficient/necessary to answer the questions. Find the speed of Rahul? Statement: 1) Ravi who can cover a certain distance in 6 hours travelling with the speed 15 kmph more than Rahul who also travelled the same distance. Statement: 2) If the time(t) taken by Rahul is 480% of his speed. Statement: 3) If the Distance Travelled is 120 kms.
The following question is accompanied by three statements (I), (II), and (III). You have to determine which statements(s) is/are sufficient/necessary to answer the questions. Find the speed of Rahul? Statement: 1) Ravi who can cover a certain distance in 6 hours travelling with the speed 15 kmph more than Rahul who also travelled the same distance. Statement: 2) If the time(t) taken by Rahul is 480% of his speed. Statement: 3) If the Distance Travelled is 120 kms. Correct Answer Any two statement is sufficient
According to the question.
Statement: 1)
Let the speed of Rahul = S kmph
Speed of Ravi = (S + 15) kmph
Time taken by Ravi = 6 hours.
Time taken by Rahul = T hours.
Distance is same.
S = D / T ----(1)
S + 15 = D / 6 ----(2)
From eq(1) and eq(2)
We can conclude that we have two equations and three variables So the answer cannot be determined.
Statement: 2)
Speed : Time = 5x : 24x
Statement: 3)
Distance travelled = 120 kms.
On combining statement 1 & statement 3.
S = D / T ----(1)
S + 15 = D / 6 ----(2)
Putting D = 120 km
S = 5 kmph
Speed of Rahul = 5 kmph
On combining statement 1 & statement 2.
S = D / T ----(1)
S + 15 = D / 6 ----(2)
Speed : Time = 5x : 24x ----(3)
On solving above three equations we get,
x = +1, -0.75
So, Speed of Rahul = 5x = 5 kmph.
Any two statements are sufficient.
Option C, is correct.