A traveler accounts 30% of his route stretch at 15 km/h and the left over 70% at 35 km/h. Find his baseline average speed across the course. MCQ with Answer and Explanation
A traveler accounts 30% of his route stretch at 15 km/h and the left over 70% at 35 km/h. Find his baseline average speed across the course.
A. 25.0 km/h
B. 26.25 km/h
C. 28.00 km/h
D. 24.5 km/h
Answer: Option A
Solution (By JKSSB Mock Tests)
Let total distance be 100 km. First segment = 30 km; Time = 30 / 15 = 2 hours. Second segment = 70 km; Time = 70 / 35 = 2 hours. Total distance = 100 km, Total time = 4 hours. Average speed = 100 / 4 = 25 km/h.
A thief is spotted by a policeman from a distance of 250 meters. The thief runs at 11 km/h and the policeman chases him at 13 km/h. Find the distance covered by the thief before he is caught.
Explanation:
Relative speed = 13 - 11 = 2 km/h. Time to catch the thief = 0.25 km / 2 km/h = 0.125 hours. Distance covered by thief = Speed * Time = 11 km/h * 0.125 hours = 1.375 km = 1375 meters.
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.
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