AB is a railway line 220 km long, and three trains P, Q, R, travel on it at the speeds of 25 km/hr, 20 km/hr and 30 km/hr respectively. P and Q leaves A at 7 a.m. and 8: 15 a.m. respectively, and R leaves B at 10.30 a.m. Where will P be equidistant from Q and R?
AB is a railway line 220 km long, and three trains P, Q, R, travel on it at the speeds of 25 km/hr, 20 km/hr and 30 km/hr respectively. P and Q leaves A at 7 a.m. and 8: 15 a.m. respectively, and R leaves B at 10.30 a.m. Where will P be equidistant from Q and R?
Option 1 -
110 km from A
Option 2 -
125 km from A
Option 3 -
100 km from A
Option 4 -
150 km from A
Asked by Shiksha User
-
1 Answer
-
Correct Option - 2
Detailed Solution:Suppose P is midway between Q & R. Now, X hours after 7 a.m.
25 X – 20 (X – 1.25) = 220 – 25X – 30 (X – 3.5) etc.
So, 12 o'clock & 125 km from A.
Taking an Exam? Selecting a College?
Get authentic answers from experts, students and alumni that you won't find anywhere else
Sign Up on ShikshaOn Shiksha, get access to
- 65k Colleges
- 1.2k Exams
- 688k Reviews
- 1800k Answers