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Quantitative Aptitude

SPEED TIME AND DISTANCE MCQs

Time & Distance

Total Questions : 422 | Page 2 of 43 pages
Question 11. The speed 3$1/3$ m/sec when expressed in km/hour becomes
  1.    12
  2.    10
  3.    9
  4.    8
 Discuss Question
Answer: Option A. -> 12
Answer: (a)Since, 1 m/sec = $18/5$ kmph$10/3$ m/sec= $18/5 × 10/3$ = 12 kmph
Question 12. A man crosses a road 250 metres wide in 75 seconds. His speed in km/hr is :
  1.    15
  2.    12.5
  3.    12
  4.    10
 Discuss Question
Answer: Option B. -> 12.5
Answer: (b)Using Rule 1,Speed = $\text"Distance"/\text"Time" = 250/75$= $10/3$ m/sec = $10/3 × 18/5$ km/hr[Since, 1 m/s = $18/5$ km/hr]= 2 × 6 km/hr. = 12 km/hr.
Question 13. A bullock cart has to cover a distance of 120 km. in 15 hours. If it covers half of the journey in $3/5$th time, the speed to cover the remaining distance in the time left has to be
  1.    15 km/hr
  2.    10 km/hr
  3.    6.67 km/hr
  4.    6.4 km/hr
 Discuss Question
Answer: Option C. -> 6.67 km/hr
Answer: (c)Using Rule 1,Remaining time= $2/5 × 15 = 6$ hoursRequired speed= $60/6$ = 10 kmph
Question 14. A man walks 'a' km in 'b' hours. The time taken to walk 200 metres is
  1.    ${ab}/200$ hours
  2.    $b/a$ hours
  3.    $b/{5a}$ hours
  4.    ${200b}/a$ hours
 Discuss Question
Answer: Option B. -> $b/a$ hours
Answer: (b)Using Rule 1,Man's speed = $\text"Distance"/ \text"Time"$= $a/b$ kmph = ${1000a}/b$ m/hourTime taken in walking 200 metre= $200/{{1000a}/b} =b/{5a}$ hours
Question 15. An aeroplane covers a certain distance at a speed of 240 km hour in 5 hours. To cover the same distance in 1$2/3$ hours, it must travel at a speed of :
  1.    720 km./hr.
  2.    600 km./hr.
  3.    360 km./hr.
  4.    300 km./hr.
 Discuss Question
Answer: Option A. -> 720 km./hr.
Answer: (a)Using Rule 1,Let the required speed is x km/ hrThen, $240 × 5 = 5/3 × x$x = 720 km/hr.
Question 16. A train is moving with the speed of 180 km/hr. Its speed (in metres per second) is :
  1.    50
  2.    30
  3.    40
  4.    5
 Discuss Question
Answer: Option A. -> 50
Answer: (a)Using Rule 1,Speed = 180 kmph= ${180 × 5}/18$ m/sec = 50 m/sec[Since, 1 km/hr = $5/18$ m/s]
Question 17. The speed of a bus is 72 km/hr. The distance covered by the bus in 5 seconds is
  1.    74.5 m
  2.    50 m
  3.    60 m
  4.    100 m
 Discuss Question
Answer: Option D. -> 100 m
Answer: (d)Using Rule 1,Speed of bus = 72 kmph= $({72 × 5}/18)$ metre/second= 20 metre/second∴ Required distance= 20 × 5 = 100 metre
Question 18. A car goes 10 metres in a second. Find its speed in km/hour.
  1.    36
  2.    48
  3.    32
  4.    40
 Discuss Question
Answer: Option A. -> 36
Answer: (a)Using Rule 1,Speed of car = 10 m/sec.Required speed in kmph=${10 × 18}/5 = 36$ km/hr
Question 19. A train covers a distance of 10 km in 12 minutes. If its speed is decreased by 5 km/hr, the time taken by it to cover the same distance will be :
  1.    11 minutes 20 sec
  2.    13 minutes
  3.    13 minutes 20 sec
  4.    10 minutes
 Discuss Question
Answer: Option B. -> 13 minutes
Answer: (b)Using Rule 1,Speed of train = $\text"Distance"/ \text"Time"$= $10/{12/60}$ kmph = ${10 × 60}/12 = 50$ kmphNew speed = 45 kmphRequired time = $10/45$ hour= $2/9 × 60$ minutes = $40/3$ minutes= 13 minutes 20 seconds
Question 20. A man walking at the rate of 5 km/hr. crosses a bridge in 15 minutes. The length of the bridge (in metres) is :
  1.    1250
  2.    1000
  3.    750
  4.    600
 Discuss Question
Answer: Option A. -> 1250
Answer: (a)Using Rule 1,Speed of the man = 5km/hr= $5 × 1000/60$ m/min = $250/3$ m/minTime taken to cross the bridge= 15 minutesLength of the bridge= speed × time= $250/3 × 15$m = 1250m

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