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1) If a man walks at the rate of 5 kmph, he misses a train by only 13 minutes. However, if he walks at the rate of 6 kmph, he reaches the station 7 minutes before the arrival of the train. Find the distance covered by him to reach the station.A) 10 B) 5 C) 6 D) 9
Answer & Explanation
Answer: 10 (Let the required distance be x km.
Difference in the times taken at two speeds=20min=1/3hr
Therefore, x/5-x/6=1/3.
Or, 6x-5x=10
x=10 km.
)
2) A man travels for 5 hrs 30 mins. If he covers the first half of the journey at 30 kmph and the rest at 45 kmph find the total distance traveled by him.A) 205 B) 200 C) 198 D) 195
Answer & Explanation
Answer: 198 (Let the total distance be x km.
Then, (x/2)/30+(x/2)/45=22/4
Or, x/60+x/90=22/4
3x+2x=22 * 180/4
x=198 km
)
3) A man takes 4 hrs 30 mins in walking to a certain place and riding back. He would have gained 2 hrs by riding both ways. The time he would take to walk both ways is:A) 7 hr 45 min B) 6 hr 45 min C) 6 hr 30 min D) 6 hr 20 min
Answer & Explanation
Answer: 6 hr 45 min (Time taken to walk x km)+(Time taken to ride x km)=18/4 hrs
(Time taken to walk 2x km)+(time taken to ride 2x km)= 9 hrs.
But, time taken to ride 2x km =10/4 hrs
Therefore, time taken to walk 2x km=(9-10/4)hrs = 26/4 hrs. =6 hrs 45 mins)
4) Excluding stoppages, the speed of a bus is 50 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?A) 10 B) 12 C) 6 D) 5
Answer & Explanation
Answer: 6 (Due to stoppages, it covers 5 kms less.
Total time the bus stopped =(5/50*60)=6 mins
)
5) A thief is spotted by a policeman from a distance of 200m. When the policeman starts the chase, the thief also starts running. If the speed of the thief be 10 kmph and that of policeman 12 kmph, how far thief will have to run before he is overtaken?A) 1 B) 3 C) 4 D) 2
Answer & Explanation
Answer: 1 (Relative speed of the policeman =2 kmph
Time taken by the policeman to cover 200m =(200/1000*1/2)=1/10hrs
In 1/10hrs, the thief covers a distance of (10*1/10)km=1 km
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