Question
Amit has two routes, ‘X’ and
‘Y’, to travel from his home to his gym. The length of route ‘X’ exceeds the length of route ‘Y’ by 15 km. On Monday, Amit chose route ‘X’. He traveled at a certain speed for 2 hours, then increased his speed by 20% for the rest of the journey. On Tuesday, he opted for route ‘Y’. For the first 2 hours, he traveled at a speed that was 20% less than his initial speed on Monday, and then increased his speed by 25% for the remainder of the journey. If Amit completed both routes in exactly 3 hours, determine the distance of the longer route.Solution
ATQ,
For route ‘X’: Let the speed of Amit for 2 hours be ‘a’ km/hr Therefore, total distance covered = 2a + 1.2a = 3.2a km For route ‘Y’: Speed of Amit for 2 hours = 0.8a km/hr Therefore, total distance covered = 0.8a × 2 + 1.25 × 0.8a = 2.6a km According to the question, 3.2a – 2.6a = 15 Or, a = 15/0.6 = 25 Therefore, distance of the longer route = 3.2a = 80 km
Answer the questions based on the information given below.
A & B means A is greater than B
A * B means A is not greater than B
A ...
Statements: M % N, N & A, A @ B, B # C
Conclusions: I. C & AÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â II. M # B
...Statements: R > S > T ≥ U; Q ≥ R; W = V < U
Conclusions:
I. S > Q
II. W < T
III. Q > W
In the following question the relationship between different elements is given in the statements followed by three conclusions I, II and III. Read the...
In the question, assuming the given statements to be true, find which of the conclusion (s) among given three conclusions is /are definitely true and ...
Statements:
N < P ≤ I = O; P ≥ J ≥ K ≥ W; Z ≤ M ≤ W
Conclusions:
I) O > Z
II) O = Z
...Statements: M $ K; K & N, N % R, R @ W
Conclusions:Â Â Â Â Â
I. W & KÂ Â Â Â Â Â Â Â
II. K & WÂ Â Â Â Â Â Â Â Â Â Â Â ...
Statements: I ≥ E = S > J < N > V > Q ≤ O
Conclusion
I: I > S
II: Q < N
In the question, assuming the given statements to be true, find which of the conclusion (s) among given two conclusions is /are definitely true and the...
Statements: F > V > W ≥ L > G; F ≤ O = M < I
Conclusions: I. M > LÂ Â Â II. V < I