Vivek starts moving at the speed of 70 km/hr at 8:00 am. Neeraj starts moving in the same direction after 4 hours of Vivek at the speed of 120 km/hr. Which of the following statement(s) is/are correct?
I. Neeraj, and Vivek met each other at 5:36 pm.
II. The total distance covered by both Neeraj and Vivek till 4 pm is 1080 km.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. Only I.
Vivek traveled = 70 × 4 = 280 km
Relative speed = 120 - 70 = 50 km/hr
Time taken to meet = 280/50 = 5.6 hours = 5 hours and 36 minutes
Meeting time = 12:00 pm + 5 hours 36 minutes = 5:36 pm
Thus, Statement I is correct.
Distance covered by Vivek = 70 × 8 = 560 km
Distance covered by Neeraj = 120 × 4 = 480 km
Total distance = 560 + 480 = 1040 km.
Thus, Statement II is incorrect (the total distance is 1040 km, not 1080 km).
Therefore, only Statement I is correct.