A car running from point P1 to point P2 meets with an accident 50 km from point P1, after which it travels with three- fifths of its original velocity and arrives 3 hours late at point P2; if the accident had occurred 50 km further on, it would have been only 2 hours late. Find the distance from point P1 to point P2.
A car running from point P1 to point P2 meets with an accident 50 km from point P1, after which it travels with three- fifths of its original velocity and arrives 3 hours late at point P2; if the accident had occurred 50 km further on, it would have been only 2 hours late. Find the distance from point P1 to point P2.
Option 1 -
200 km
Option 2 -
180 km
Option 3 -
160 km
Option 4 -
240 km
-
1 Answer
-
Correct Option - 1
Detailed Solution:Let the distance be x km and speed be y km/hr and t be the time in hours. Then the equation will be x = yt …. (1),
Therefore,
Also,
On solving the above equations, we get speed is km/hr time is 6 hrs, and distance is 200 km.
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