A delivery van driver walks at 5 km/h and arrives 12 minutes late at his drop station. If he tracks at 8 km/h, he reaches 3 minutes early. Find the sector distance. MCQ with Answer and Explanation

A delivery van driver walks at 5 km/h and arrives 12 minutes late at his drop station. If he tracks at 8 km/h, he reaches 3 minutes early. Find the sector distance.
A. 3.66 km
B. 3.33 km
C. 4.00 km
D. 3.0 km
Answer: Option B
Solution (By JKExamLibrary)
Time difference = 12 - (-3) = 15 minutes = 1/4 hours. Let distance be d. d/5 - d/8 = 1/4 => 3d/40 = 1/4 => 3d = 10 => d = 3.33 km.

This question belongs to: Maths Time Speed and Distance

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Practice More Time Speed and Distance Questions

Question #1 Report Error
Walking at 6/7 of his typical speed, a clerk reaches his documentation terminal 14 minutes late. What is his typical time?
A. 78 minutes
B. 90 minutes
C. 96 minutes
D. 84 minutes

Correct Answer: Option D


Explanation:
New speed = 6/7 of typical speed => New time = 7/6 of typical time. Difference = 1/6 of typical time = 14 minutes. Typical time = 14 * 6 = 84 minutes.

This question belongs to: Maths Time Speed and Distance
Question #2 Report Error
A standard boat can row 12 km/h in still water. If the speed of the current is 2 km/h, find the time required to log 30 km upstream.
A. 2.5 hours
B. 3.0 hours
C. 3.5 hours
D. 4.0 hours

Correct Answer: Option B


Explanation:
Upstream speed = 12 - 2 = 10 km/h. Time required = Distance / Upstream speed = 30 / 10 = 3 hours.

This question belongs to: Maths Time Speed and Distance
Question #3 Report Error
A bicycle wheel of diameter 140 cm makes 300 revolutions in one minute. Find the speed of the bicycle in km/h.
A. 82.6 km/h
B. 88.0 km/h
C. 79.2 km/h
D. 75.4 km/h

Correct Answer: Option C


Explanation:
Radius r = 70 cm = 0.7 meters. Circumference = 2 * (22/7) * 0.7 = 4.4 meters. Distance in 1 minute = 300 * 4.4 = 1320 meters. Distance in 1 hour = 1320 * 60 = 79200 meters = 79.2 km. Speed = 79.2 km/h.

This question belongs to: Maths Time Speed and Distance