A field surveyor walking at 4 km/h handles a regular sector. If he steps up to run at 8 km/h, he takes 30 minutes less across the course stretch. Find the absolute distance profile. MCQ with Answer and Explanation

A field surveyor walking at 4 km/h handles a regular sector. If he steps up to run at 8 km/h, he takes 30 minutes less across the course stretch. Find the absolute distance profile.
A. 4.5 km
B. 5.0 km
C. 3.5 km
D. 4.0 km
Answer: Option D
Solution (By JKSSB Mock Tests)
Time difference = 30 minutes = 0.5 hours. Let distance be d. d / 4 - d / 8 = 0.5 => d / 8 = 0.5 => d = 4 km.

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Practice More Time Speed and Distance Questions

Question #1
A thief steals a car at 2:30 PM and drives it at 60 km/h. The theft is discovered at 3:00 PM and the owner sets off in another car at 75 km/h. When will he overtake the thief?
A. 4:45 PM
B. 5:00 PM
C. 4:30 PM
D. 5:15 PM

Correct Answer: Option B


Explanation:
By 3:00 PM, the thief has driven for 30 minutes (0.5 hours) and covered 60 * 0.5 = 30 km. Relative speed of owner = 75 - 60 = 15 km/h. Time to catch thief = 30 / 15 = 2 hours. Overtaking time = 3:00 PM + 2 hours = 5:00 PM.

This question belongs to: Maths Time Speed and Distance
Question #2
A car covers a specific distance path at an average speed of 40 km/h and returns along the same course layout at 60 km/h. Find the average speed for the round journey.
A. 52 km/h
B. 46 km/h
C. 48 km/h
D. 50 km/h

Correct Answer: Option C


Explanation:
Average Speed = 2xy / (x + y) = (2 * 40 * 60) / (40 + 60) = 4800 / 100 = 48 km/h.

This question belongs to: Maths Time Speed and Distance
Question #3
How long will a person take to walk around a square field of side 45 meters if his speed is 9 km/h?
A. 80 seconds
B. 72 seconds
C. 64 seconds
D. 90 seconds

Correct Answer: Option B


Explanation:
Perimeter of the square field = 4 * 45 = 180 meters. Speed = 9 km/h = 9 * (5/18) = 2.5 m/s. Time = Distance / Speed = 180 / 2.5 = 72 seconds.

This question belongs to: Maths Time Speed and Distance