Geeta went to her home town at a distance of 270 km from her house. She started her journey at 10:00 a.m. and reached the destination at 02:00 p.m. by travelling 20 km by cab at a speed of 60 km/h and 240 km by train running at a speed of 80 km/h. She covered the remaining distance by an auto to reach her place. What was the speed of the auto?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e 15 km/h.
Time taken = 10:00 a.m. to 2:00 p.m. = 4 hours
Remaining distance = 270 - 20 - 240 = 10 km (covered by auto)
Time taken by cab = distance ÷ speed = 20 ÷ 60 = 1/3 hour = 20 minutes
Time taken by train = 240 ÷ 80 = 3 hours
Total time used so far = 1/3 + 3 = 10/3 hours ≈ 3 hours 20 minutes
Time left for auto = 4 - 10/3 = 2/3 hour = 40 minutes
Speed of auto = distance ÷ time = 10 ÷ (2/3) = 15 km/h