Question
The distance between Rahul's house and the gym is 60 km.
When travelling at ___ km/h, Rahul reaches the gym at his usual time. However, when he reduces his speed to ___ km/h, he arrives 15 minutes late. The values given in which of the following options will fill the blanks in the same order to make the statement true? I. 25 and 20 II. 160 and 96 III. 30 and (80/3)Solution
ATQ, For statement-I: Usual time taken to reach his Gym = (60/25) = (12/5) hours Time taken to reach gym when travelling at 20 km/h = (12/5) + (15/60) = (159/60) hours So, distance travelled by the Rahul when travelling at 20 km/h = 20 × (159/60) = 53 km Therefore, the data given in statement-I is false. For statement-II: Usual time to reach his gym = (60/160) = (3/8) hours Time taken to reach gym by travelling at 96 km/h = (3/8) + (15/60) = (3/8) + (1/4) = (5/8) hours So, distance travelled by the Rahul when travelling at 96 km/h = 96 X (5/8) = 60 km = 60 km Therefore, data given in statement-II is true. For statement-III: Usual time to reach his gym = (60/30) = 2 hours Time taken to reach the gym by travelling at (80/3) km/h = 2 + (15/60) = 2 + (1/4) = (9/4) hours So, distance travelled by the Rahul when travelling at (80/3) km/h = (80/3) × (9/4) = 60 km So, data given in statement-III is true. Therefore, Only II and III are true.
Six persons (M, N, O, P, Q, and R) are sitting in a straight row facing north. P sits second to the left of R. One person sits between P and M. O sits ...
Six girls, P, Q, R, S, T and V, are sitting around a circular table. All of them are facing towards the centre of the table (but not necessarily in the ...
Five friends, D, E, F, G and H, are sitting in a straight line. D and E are adjacent to each other. E is between D and F. D is third to the left of G. G...
Which of the following statement(s) is/are true?
I. C and A are immediate neighbors
II. Only one person sits between E and D when counted ...
Who is paternal grandfather of M?
Which of the following is true?
How many candidates sit in the row?
Who among the following does not belong to the group?
Seven persons A, B, C, D, E, F and G sit around a circular table. All of them face away from the centre. G sits second to the right of F. Only two perso...
Six persons Om, Yash, Rohit, Prateek, Tanu and Umesh are sitting in a straight horizontal row facing towards the south. Umesh sits second to the right ...
Relevant for Exams:
