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Speed Time And Distance - Aptitude MCQ Questions and Solutions with Explanations

Speed Time And Distance MCQ Questions and answers with easy and logical explanations.Arithmetic Ability provides you all type of quantitative and competitive aptitude mcq questions on Speed Time And Distance with easy and logical explanations. Speed Time And Distance MCQ is important for exams like Banking exams,IBPS,SCC,CAT,XAT,MAT etc. Page-5 section-2

Each section contains 100 MCQs on Speed Time and Distance .
41
A train is 250 m long. If the train takes 50 second to cross a tree by the railway line, then the speed of the train on Km /hr is :
Discuss
Answer & Solution
Answer: Option C
Solution:
$$\eqalign{ & {\text{Speed}} = \frac{{{\text{Distance}}}}{{{\text{Time}}}} \cr & {\text{Speed}} = \frac{{250}}{{50}} = 5{\text{ m /s}} \cr & {\text{Speed}} = 5 \times \frac{{18}}{5} = 18{\text{ km /hr}} \cr} $$
42
Points 'A' and 'B' are 70 km apart on a highway and two cars start at the same time. If they travel in the same direction, they meet in 7 hours, but if they travel towards each other they meet in one hour. Find the speed of the two cars (in km/hr).
Discuss
Answer & Solution
Answer: Option B
Solution:
Let the speed of the cars be S1 and S2
And S1 - S2 = $$\frac{70}{7}$$ = 10 . . . . . (i)
Also S1 + S2 = $$\frac{70}{1}$$ = 70 . . . . . (ii)
From equation (i) and (ii)
S1 = $$\frac{10 + 70}{2}$$  = 40 km /hr
And S2 = $$\frac{70 - 10}{2}$$  = 30 km / hr
∴ Required speeds are 40 km/hr and 30 km/hr
43
A 75 metres long train is moving at 20 kmph. It will cross a man standing on the platform in :
Discuss
Answer & Solution
Answer: Option C
Solution:
T = $$\frac{D}{S}$$
   = $$\frac{75 × 18}{20 × 5}$$
   = $$\frac{27}{2}$$
   = 13.5 seconds
44
A car travels at a speed of 60 km/hr and covers a particular distance in one hour. How long will it take for another car to cover the same distance at 40 km/hr ?
Discuss
Answer & Solution
Answer: Option C
Solution:
Total distance = 60 km/hr × 1 hour = 60 km
Therefore,
Time will be taken by another car to travel the same distance with 40 km/hr
= $$\frac{60}{40}$$
= $$\frac{3}{2}$$ hours
45
A man walking at the rate of 5 km/hr crosses a bridge in 15 min. The length of the bridge (in metres) is :
Discuss
Answer & Solution
Answer: Option D
Solution:
$$\eqalign{ & 15\min = \frac{1}{4}{\text{hrs}} \cr & {\text{1 hr }} \to {\text{5 kms}} \cr & \frac{1}{4}{\text{hr}} \to \frac{5}{4}{\text{ kms}} \cr & {\text{So, length of the bridge}} \cr & = \frac{5}{4}{\text{ km}} \cr & {\text{ = 1250 metres}} \cr} $$
46
A gun is fired at a distance of 1.7 km from Ram and he hears the sound after 25 seconds. The speed of sound in meter per second is
Discuss
Answer & Solution
Answer: Option D
Solution:
$$\eqalign{ & {\text{Distance = 1}}{\text{.7 km}} \cr & {\text{Time = 25 sec}} \cr & \therefore {\text{Speed = }}\frac{{{\text{Distance}}}}{{{\text{Time }}}} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = \frac{{1.7 \times 1000}}{{25}} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 68{\text{ m/s}} \cr} $$
47
A man crosses a road 250 metres wide in 75 seconds. His speed in km/hr is :
Discuss
Answer & Solution
Answer: Option B
Solution:
$$\eqalign{ & S = \frac{D}{T} = \frac{{250}}{{75}}{\text{ m/sec}} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{\text{ = }}\frac{{250}}{{75}} \times \frac{{18}}{5} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 12{\text{ km/hr}} \cr} $$
48
The speed of 90 km per hour is same as :
Discuss
Answer & Solution
Answer: Option C
Solution:
1 km/hr = $$\frac{5}{18}$$
∴ 90 km/hr
= 90 × $$\frac{5}{18}$$ = 25 m/s
49
A train passes two bridges of length 500 metres and 250 metres in 100 seconds and 60 seconds respectively. The length of the train is :
Discuss
Answer & Solution
Answer: Option A
Solution:
Let the length of train be $$l$$ metre
According to the question,
Time = $$\frac{{{\text{Distance}}}}{{{\text{Speed}}}}$$
⇒ 100 =$$\frac{{{\text{500 + }}l}}{{{\text{Speed}}}}$$
⇒ Speed = $$\frac{{500 + l}}{{100}}$$    ..... (i)
Again,
60 = $$\frac{{{\text{250 + }}l}}{{{\text{Speed of Train}}}}$$
Speed = $$\frac{{{\text{250 + }}l}}{{{\text{60}}}}$$    ..... (ii)
Equation (i) and (ii)
$$\eqalign{ & \Rightarrow \frac{{500 + l}}{{100}} = \frac{{250}}{{60}} \cr & \Rightarrow 1500 + 3l = 1250 + 5l \cr & \Rightarrow 2l = 250 \cr & \therefore {\text{Length of train = 125 metres}} \cr} $$
50
Two trains start from a certain place on two parallel tracks in the same direction. The speed of the trains are 45 km/hr and 40 km/hr respectively. The distance between the two trains after 45 minutes will be :
Discuss
Answer & Solution
Answer: Option C
Solution:
Relative speed :
$$\eqalign{ & = \left( {40 - 45} \right) \times \frac{5}{{18}} \cr & = \frac{{25}}{{18}}{\text{ m/s}} \cr} $$
∴ Required distance :
$$\eqalign{ & {\text{ = }}\frac{{25}}{{18}} \times 45 \times 60 \cr & = 3750{\text{ metres or 3}}{\text{.75 km}} \cr} $$