Quant Quiz on Speed, Time and Distance for DSSSB Exam
1. The wheel of an engine 4 (2/7) metres in circumference makes seven revolutions in 4 seconds. Find the speed of the train in km per hour.
(a) 27
(b) 30
(c) 33
(d) 36
(e) None of these
2. A man takes 6 hrs 30 min in walking to a certain place and riding back. He would have gained 2 hrs 10 min by riding both ways. How long would he take to walk both ways?
(a) 8 hr 30 min
(b) 8 hr 40 min
(c) 8 hr 50 min
(d) 9 hr
(e) None of these
3. A Train which travels at the uniform rate of 10 m a second leaves Madras for Arconum at 7 a.m. At what distance from Madras will it meet a train which leaves Arconum for Madras at 7.20 a.m., and travels one-third faster than the former does, the distance from Madras to Arcanum being 68 km?
(a) 40
(b) 38
(c) 36
(d) 34
(e) None of these
4. A, B and C can walk at the rates of 3, 4 and 5 km an hour respectively. They start from Poona at 1, 2, 3 o’clock respectively. When B catches A, B sends him back with a message to C. When will C get the message?
(a) 5.15
(b) 5.20
(c) 5.30
(d) 6.00
(e) None of these
5. Two men start together to walk a certain distance, one at 3 (3/4) km an hour and the other at 3 km an hour. The former arrives half an hour before the latter. Find the distance.
(a) 7 km
(b) 7.5 km
(c) 8 km
(d) 8.5 km
(e) None of these
6. A motor car does a journey in 10 hours, the first half at 21 km per hour, and the rest at 24 km per hour. Find the distance.
(a) 224 km
(b) 234 km
(c) 236 km
(d) 240 km
(e) None of these
7. A person going from Pondicherry to Ootacamond travels 120 km by steamer, 450 km by rail and 60 km by horse transit. The journey occupies 13 hours 30 minutes, and the rate of the train is three times that of the horse transit and 1 1/2 times that of the steamer. Find the rate of the train.
(a) 30 km/hr
(b) 60 km/hr
(c) 80 km/hr
(d) 90 km/hr
(e) None of these
8. How many seconds will a train 60 m in length, travelling at the rate of 42 km an hour, rate to pass another train 84 m long, proceeding in the same direction at the rate of 30 km an hour?
(a) 42
(b) 43.2
(c) 45
(d) 50
(e) None of these
9. A train 75 metres long overtook a person who was walking at the rate of 6 km an hour, and passed him in 7(1/2) seconds. Subsequently it overtook a second person, and passed him in 6 (3/4) seconds. At what rate was the second person travelling?
(a) 2 km/h
(b) 3 km/h
(c) 5 km/h
(d) 6 km/h
(e) None of these
10. A train takes 5 seconds to pass an electric pole. If the length of the train is 120 metres, the time taken by it to cross a railway platform 180 metres long is _______ seconds.
(a) 12.5
(b) 13.5
(c) 14.5
(d) 15.5
(e) None of these
Answer:
1. (a) 2. (b) 3. (c) 4. (a) 5. (b) 6. (a) 7. (b) 8. (b) 9. (a) 10. (a)
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