Multiple choice

Raajdhaani Express leaves Patna at 10:00 am for Delhi. At what time will it reach Delhi? Statement I: For the first 260 km it travels at the speed of 100 km per hour and maintains the same speed during the entire journey. Statement II: It has 8 stoppages of equal time in between Delhi and Patna. Statement III: Before every stoppages, it covers a same distance of 180 km.

  1. If either statement III alone or statements I and II together are sufficient.

  2. If only statement III is sufficient.

  3. If statement I and Statement II together are sufficient.

  4. If all statements I, II, and III together are sufficient.

  5. None of these

Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Statement I gives speed = 100 km/h but not distance. Statement II gives 8 stoppages of equal time but not duration. Statement III alone gives distance pattern but not total distance or time. Combining I+II: speed known but distance/stopping time unknown. I+III: speed known, total distance = 260 + 180×7 = 1520 km, time = 15.2h travel but stopping time unknown. I+II+III: total distance 1520 km at 100 km/h = 15.2h + 8 stoppages. But stoppage duration still unknown - arrival time cannot be determined.