Time, Speed, and Distance MCQs
(* denotes multiply and / denotes division)
Q.1: A train covers 480 km in 8 hours. What is its speed in m/s?
a) 15.66 m/s
b) 16.66 m/s
c) 20 m/s
d) 25 m/s
Ans: b)
Solution: Speed = 480 / 8 = 60 km/hr. Convert to m/s: 60 * (5 / 18) = 16.66 m/s.
Q.2: A person crosses a 600m street in 5 minutes. Speed in km/hr?
a) 3.6
b) 7.2
c) 8.4
d) 10
Ans: b)
Solution: Speed = 600m / 300s = 2 m/s. Convert: 2 * (18 / 5) = 7.2 km/hr.
Q.3: Walking at 14 km/hr instead of 10 km/hr, a man covers 20 km more. Actual distance?
a) 50 km
b) 56 km
c) 70 km
d) 80 km
Ans: a)
Solution: Speed diff = 4 km/hr. Time = 20 / 4 = 5 hrs. Actual dist = 10 * 5 = 50 km.
Q.4: Car travels 60 km/hr for 2 hrs and 40 km/hr for 3 hrs. Average speed?
a) 48 km/hr
b) 50 km/hr
c) 52 km/hr
d) 45 km/hr
Ans: a)
Solution: Total dist = (60 * 2) + (40 * 3) = 240. Total time = 5. Avg = 240 / 5 = 48.
Q.5: A journey takes 10 hrs. First half at 21 km/hr, second half at 24 km/hr. Total distance?
a) 220 km
b) 224 km
c) 230 km
d) 234 km
Ans: b)
Solution: Average speed = (2 * 21 * 24) / (21 + 24) = 1008 / 45 = 22.4. Distance = 22.4 * 10 = 224 km.
Q.6: Train 150m long at 60 km/hr crosses a post in:
a) 5s
b) 7s
c) 9s
d) 12s
Ans: c)
Solution: 60 km/hr = 50 / 3 m/s. Time = 150 / (50/3) = 9s.
Q.7: Man rows 15 km/hr in still water, stream is 3 km/hr. Downstream speed?
a) 12
b) 15
c) 18
d) 21
Ans: c)
Solution: 15 + 3 = 18 km/hr.
Q.8: Upstream 7 km/hr, downstream 11 km/hr. Speed of stream?
a) 2
b) 4
c) 9
d) 18
Ans: a)
Solution: (11 – 7) / 2 = 2 km/hr.
Q.9: Speed excl. stops 54 km/hr, incl. stops 45 km/hr. Minutes stopped per hour?
a) 9
b) 10
c) 12
d) 15
Ans: b)
Solution: (54 – 45) / 54 = 1/6 hr = 10 min.
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Q.10: Police at 12 km/hr chases thief at 10 km/hr. Initial gap 200m. Distance thief runs?
a) 800m
b) 1000m
c) 1200m
d) 1500m
Ans: b)
Solution: Rel speed = 2 km/hr. Time to catch = 0.2 km / 2 = 0.1 hr. Thief distance = 10 * 0.1 = 1 km = 1000m.
Q.11: Train crosses 200m platform in 27s at 60 km/hr. Train length?
a) 200m
b) 250m
c) 300m
d) 450m
Ans: b)
Solution: Speed = 50 / 3 m/s. Total dist = 50/3 * 27 = 450. Train = 450 – 200 = 250.
Q.12: Two trains (120m, 180m) in opposite directions at 40 and 50 km/hr. Crossing time?
a) 10s
b) 12s
c) 15s
d) 18s
Ans: b)
Solution: Rel speed = 90 km/hr = 25 m/s. Total dist = 300. Time = 300 / 25 = 12s.
Q.13: Travel A to B at 30 km/hr, return at 20 km/hr. Average speed?
a) 24
b) 25
c) 26
d) 28
Ans: a)
Solution: (2 * 30 * 20) / (30 + 20) = 24.
Q.14: Walking at 3/4 speed, man is 2.5 hrs late. Usual time?
a) 5
b) 6
c) 7.5
d) 10
Ans: c)
Solution: Speed 3/4 => Time 4/3. (4/3 – 1)T = 2.5 => T/3 = 2.5 => T = 7.5.
Q.15: Boy rides 10 km at 12 km/hr and 12 km at 10 km/hr. Average speed?
a) 10.4
b) 10.8
c) 11
d) 12.2
Ans: b)
Solution: Total dist = 22. Total time = 10/12 + 12/10 = 5/6 + 6/5 = 61/30. Avg = 22 / (61/30) = 10.8.
Q.16: In 100m race, A beats B by 25m, B beats C by 4m. A beats C by:
a) 21m
b) 26m
c) 28m
d) 29m
Ans: c)
Solution: A=100, B=75. B=100, C=96. When B=75, C = 96 * 0.75 = 72. A-C = 100 – 72 = 28m.
Q.17: Speeds ratio 2:3:4. Time ratio?
a) 2:3:4
b) 4:3:2
c) 6:4:3
d) 3:4:6
Ans: c)
Solution: 1/2 : 1/3 : 1/4 = 6 : 4 : 3.
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Q.18: Tour: 160 km at 64 km/hr, next 160 km at 80 km/hr. Avg speed?
a) 35.55
b) 71.11
c) 36
d) 72
Ans: b)
Solution: (2 * 64 * 80) / (64 + 80) = 71.11.
Q.19: At 40 km/hr 10 min late; at 50 km/hr 5 min late. Distance?
a) 15
b) 16.66
c) 20
d) 25
Ans: b)
Solution: Dist = (S1*S2 / S2-S1) * DiffTime = (2000 / 10) * (5 / 60) = 16.66.
Q.20: Train crosses platform in 36s and man in 20s. Speed 54 km/hr. Platform length?
a) 120m
b) 240m
c) 300m
d) 360m
Ans: b)
Solution: Speed = 15 m/s. Train length = 15 * 20 = 300. Total dist = 15 * 36 = 540. Platform = 540 – 300 = 240.
Q.21: Boat at 15 km/hr in still water goes 30 km and back in 4.5 hrs. Stream speed?
a) 4
b) 5
c) 6
d) 10
Ans: b)
Solution: 30/(15+x) + 30/(15-x) = 4.5. If x=5: 30/20 + 30/10 = 1.5 + 3 = 4.5.
Q.22: 30 min at 40 km/hr, 45 min at 60 km/hr, 2 hrs at 70 km/hr. Avg speed?
a) 60
b) 63
c) 65
d) 70
Ans: b)
Solution: Dist = 20 + 45 + 140 = 205. Time = 3.25 hrs. Speed = 205 / 3.25 = 63.
Q.23: Cover distance in 50 min at 48 km/hr. Speed for 40 min?
a) 50
b) 55
c) 60
d) 65
Ans: c)
Solution: 48 * 50 = S * 40 => S = 60.
Q.24: A and B (250 km apart) move to each other at 40 and 60 km/hr. Meeting time?
a) 2 hrs
b) 2.5 hrs
c) 3 hrs
d) 4 hrs
Ans: b)
Solution: Rel speed = 100. Time = 250 / 100 = 2.5.
Q.25: Track 400m. A at 10 m/s, B at 15 m/s. Meet at start in:
a) 40s
b) 60s
c) 80s
d) 100s
Ans: c)
Solution: A lap = 40s, B lap = 26.6s. LCM of 40 and 80/3 = 80s.
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