A man covers 1/3rd of his journey at 20 km/h and the remaining 2/3rd at 40 km/h. If the total distance is 120 km, find the total time taken for the journey. MCQ with Answer and Explanation

A man covers 1/3rd of his journey at 20 km/h and the remaining 2/3rd at 40 km/h. If the total distance is 120 km, find the total time taken for the journey.
A. 3.5 hours
B. 5 hours
C. 4.5 hours
D. 4 hours
Answer: Option D
Solution (By JKSSB Mock Tests)
First part distance = 120 / 3 = 40 km. Time1 = 40 / 20 = 2 hours. Remaining distance = 80 km. Time2 = 80 / 40 = 2 hours. Total time = 2 + 2 = 4 hours.

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Practice More Time Speed and Distance Questions

Question #1
A man walking at 5 km/h notices a train 100 meters long passing him from behind in 6 seconds. What is the speed of the train?
A. 75 km/h
B. 60 km/h
C. 65 km/h
D. 70 km/h

Correct Answer: Option C


Explanation:
Relative speed = 100 / 6 = 50/3 m/s = (50/3) * (18/5) = 60 km/h. Since the train passes him from behind (same direction), Relative Speed = Speed of train - Speed of man => 60 = Speed of train - 5 => Speed of train = 65 km/h.

This question belongs to: Maths Time Speed and Distance
Question #2
A hound pursues a fox that is initially 150 meters ahead. The fox flies at 30 km/h and the hound targets at 36 km/h. Find the total distance the fox runs before capture.
A. 850 meters
B. 800 meters
C. 750 meters
D. 700 meters

Correct Answer: Option C


Explanation:
Relative speed = 36 - 30 = 6 km/h = 5/3 m/s. Time required for capture = 150 / (5/3) = 90 seconds. Distance run by fox = Speed * Time = [30 * (5/18)] * 90 = (25/3) * 90 = 750 meters.

This question belongs to: Maths Time Speed and Distance
Question #3
A runner tracks a circular field loop course of radius 70 meters. If his speed registers at 20 m/s, find the total loop rounds completed by him in 2 minutes 12 seconds.
A. 8 rounds
B. 7 rounds
C. 6 rounds
D. 5 rounds

Correct Answer: Option C


Explanation:
Circumference = 2 * (22/7) * 70 = 440 meters. Time = 2 minutes 12 seconds = 132 seconds. Total distance wrapped = Speed * Time = 20 * 132 = 2640 meters. Number of loop rounds completed = 2640 / 440 = 6 rounds.

This question belongs to: Maths Time Speed and Distance