Formulae
1. Speed, Time and Distance
Speed = (Distance/Time)
Time = (Distance/Speed)
Distance = (Speed x Time).
2. km per hr to m per sec conversion x km/hr = (x*5/18) m/sec.
3. m/sec to km/hr conversion x m/sec = (x *18/5) km/hr.
Exercise : Time and Distance MCQ Questions and Answers
Question 1
A and B are 25 km apart. If they travel in opposite directions, they meet after one hour. If they travel in the same direction, they meet after 5 hours. If A travels faster than B, then the speed of A
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Correct Answer : C. 15 km/hr
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Question 2
It takes 20 hours for a man to complete a journey by a car. If he drives the first half at the speed 60 kmh"1 and the second half at 40 kmh', what is the total distance ?
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Correct Answer : B. 960 km
Description :
D = 2x20x60x40/60+40 = 960 km
Question 3
A man rode out a certain distance by car at the speed of 45 kmh- 1 and walked back at the rate of 5 kmh1 . The whole journey took 10 hours. What distance did he ride ?
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Correct Answer : C. 45 km
Description :
Let the distance be x km
Therefore, x/45 + x/5 = 10
x + 9x/45 = 10
Therefore, x = 45 km.
Question 4
A man is walking at a speed of 6 km per hour. After every km he takes rest for 6 minutes. How much time will he take to cover a distance of 12 km.
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Correct Answer : A. 3 hr. 6 min
Description :
For 12 km he takes 11 times rest.
11 x 6 = 66 minutes rest
= 1 hr 6 min
For 12 km, 2 hr is required + rest
= 2 + 1 hr 6m = 3 hr. 6 min
Question 5
A can complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.
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Correct Answer : C. 224 km
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Question 6
If a man covers the first 30 min of his journey at 9 km/h and the next 30 min of his journey at 12 km/h, then find his average speed?
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Correct Answer : B. 10.5 km/h
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Question 7
A man travels 600 km by train at 80 km/hr, 800 km by ship at 40 km/hr, 500 km by aeroplane at 400 km/hr and 100 km by car at 50 km/hr. What is the average speed for the entire distance?
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Correct Answer : A. 8000/123 km/hr
Description :
Speed = Distance/Time
Total distance travelled = (600 + 800 + 500 + 100) km = 2000 km.
Total time taken = (600/80 + 800/40 + 500/400 + 100/50) hrs = 123/4 hrs.
∴ Average speed = (2000 × (4/123)) km/hr = 8000/123 km/h
Question 8
In how much time will a train of length 100 m, moving at 36 kmph cross an electric pole?
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Correct Answer : A. 10 sec
Description :
Convert kmph to mps. 36 kmph = 36 * 5/18 = 10 mps.
The distance to be covered is equal to the length of the train.
Required time t = d/s = 100/10 = 10 sec.
Question 9
Robert is traveling on his cycle and has calculated to reach point A at 2 p.m. if he travels at 10 km/hr; he will reach there at 12 noon if he travels at 15 km/hr. At what speed must he travel to rea
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Correct Answer : A. 12 kmph
Description :
Then, x/10 - x/15 = 2
3x - 2x = 60 => x = 60 km.
Time taken to travel 60 km at 10 km/hr = 60/10 = 6 hrs.
So, Robert started 6 hours before 2. p.m. i.e., at 8 a.m.
Required speed = 60/5 = 12 kmph.
Question 10
A man leaves a point 'X' and reaches the point 'Y' in 8 hours. Another man leaves the point 'Y' 2 hours later and reaches the point 'X' in ' 4 ' hours. What is the time in which the first man meets th
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Correct Answer : B. 4 hrs
Description :
Let the distance be D and let them meet after x hours.
Avg speed of 1st man = D/8 kmh-1
Avg speed of 2nd man = D/4 kmh -1
Distance travelled by 1st man = Dx/8 km
2nd man starts 2 hrs later, meets after (x - 2) hrs from his start
Therefore, Distance travelled by 2nd man= D/4 (x-2)
Therefore, Dx/8 + D/4 (x-2) = D
Dx/8 + Dx/4 - D/2 = D
Therefore, x = 4 hrs.