PE 4 - Time, Speed & Distance | Arithmetic - Time, Speed & Distance
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The circumferences of front wheel and rear wheel of a wagon are 315 cm and 420 cm, respectively. What is the distance travelled by the wagon, if the front wheels have made 10 rotations more than the rear wheels?
- (a)
126 m
- (b)
105 m
- (c)
108 m
- (d)
95 m
Solution
Discuss
ReportThere was a race between a hare and a tortoise. The length of the race was 2400 m. The speeds of hare and tortoise were 24 km/hr and 0.4 km/hr, respectively. But, along the way, the hare felt tired and slept for some time. After some time, he woke up and completed the race with the same speed as before. But, the race ended in a tie. For how long did the hare sleep?
- (a)
370 mins
- (b)
354 mins
- (c)
338 mins
- (d)
242 mins
- (e)
180 mins
A ship is 72 kms away from the shore. It springs a leak in the bottom which admits 3 ⅖ tons of water in 12 minutes. 60 tons of water would suffice to sink her, but the ship’s pump can throw out 12 tons of water in an hour. Find the minimum speed of the ship, so that she may reach the shore just before ship begins to sink.
- (a)
4 kmph
- (b)
4.5 kmph
- (c)
5 kmph
- (d)
None of these
A hare pursued by a hound is 50 of her own leaps ahead of him. When the hare takes 4 leaps, the hound takes 3. In one leap the hare goes 1¾ meters and the hound 2¾ meters. In how many leaps will the hound overtake the hare?
- (a)
200 leaps
- (b)
205 leaps
- (c)
210 leaps
- (d)
None of these
Two guns are fired from a fort after an interval of 15 mins. and a man running towards the fort hears the reports of the gun after an interval of 14 mins. Find the rate of progress, sound travelling at the rate of 300 meters per sec.
- (a)
72 kmph
- (b)
55 kmph
- (c)
45 kmph
- (d)
None of these
Two trains X and Y start from stations A and B towards B and A respectively. After passing each other, they take 4 hours 48 minutes and 3 hours 20 minutes to reach B and A respectively. If train X is moving at 45 km/h, the speed of train Y is:
- (a)
60 kmph
- (b)
54 kmph
- (c)
64 kmph
- (d)
37.5 kmph
In a race of 600 m, A can beat B by 50 m and in a race of 500 m B can beat C by 60 m. By how many meters will A beat C in a race of 300 m?
- (a)
48 m
- (b)
56 m
- (c)
71 m
- (d)
58 m
Excluding stoppages, the speed of a bus is 54 km/h and including stoppages, it is 45 km/h. For how many minutes does the bus stop per hour?
- (a)
9
- (b)
10
- (c)
12
- (d)
20
A boat can cover a certain distance upstream in a river in 28 minutes. To cover the same distance while going downstream, it takes 3 minutes less than the time it would take to cover this distance in still water. How long would it take to come down with the stream?
- (a)
21
- (b)
12
- (c)
4
- (d)
More than one of the above