Walking at 5/7 of his usual speed, a man reaches his destination 24 minutes late. What is his usual time to reach the destination? MCQ with Answer and Explanation
Walking at 5/7 of his usual speed, a man reaches his destination 24 minutes late. What is his usual time to reach the destination?
A. 60 minutes
B. 75 minutes
C. 80 minutes
D. 50 minutes
Answer: Option A
Solution (By JKSSB Mock Tests)
New speed = 5/7 of usual speed => New time = 7/5 of usual time. Difference = 2/5 of usual time = 24 minutes. 1/5 of usual time = 12 minutes => Usual time = 60 minutes.
A motorboat maps 32 km downstream in 2 hours and tracks the same upriver stretch upstream in 4 hours. Find the baseline speed of the boat hull in still water.
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.
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