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Quantitative Aptitude

SPEED TIME AND DISTANCE MCQs

Time And Distance, Time & Distance, Speed Time & Distance

Total Questions : 1223 | Page 118 of 123 pages
Question 1171. Two bikes start at the same time from two destination 300 km apart and travel towards each other. If they cross each other at a distance of 130 km from one of the destination, what is the ratio of their speeds?
  1.    17:13
  2.    17:30
  3.    13:30
  4.    None of these
 Discuss Question
Answer: Option A. -> 17:13
NO EXPLANATION IS AVAILABLE FOR THIS QUESTION!
Question 1172. Rayan crosses a 400m bridge in 3 minutes. What is speed?
  1.    133.33 kmph
  2.    1.33 kmph
  3.    4 kmph
  4.    8 kmph
 Discuss Question
Answer: Option D. -> 8 kmph
HE CROSSES 0.4 KM IN 3/60TH OF AN HOUR. SPEED = 0.4/(1/20) = 8 KMPH
Question 1173. How much time does a train 125 metres long running at 60 km/hr take to pass a pole?
  1.    6s
  2.    2.08s
  3.    7.5s
  4.    8s
 Discuss Question
Answer: Option C. -> 7.5s
60 KM/HR = 60 * 5/18 = 16.67 M/S
SPEED = DISTANCE/TIME; V = D/T
16.67 = 125/T
T = 7.5S
Question 1174. Walking 6/7th of his usual speed, a man is 12 minutes too late. What is the usual time taken by him to cover that distance?
  1.    1 hr 42 min
  2.    1 hr
  3.    2 hr
  4.    1 hr 12 min
 Discuss Question
Answer: Option D. -> 1 hr 12 min
NEW SPEED = 6/7 OF USUAL SPEED
SPEED AND TIME ARE INVERSELY PROPORTIONAL.
HENCE NEW TIME = 7/6 OF USUAL TIME
HENCE, 7/6 OF USUAL TIME – USUAL TIME = 12 MINUTES
=> 1/6 OF USUAL TIME = 12 MINUTES
=> USUAL TIME = 12 X 6 = 72 MINUTES
= 1 HOUR 12 MINUTES
Question 1175. Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?
  1.    12
  2.    11
  3.    10
  4.    9
 Discuss Question
Answer: Option C. -> 10
SPEED OF THE BUS EXCLUDING STOPPAGES = 54 KMPH
SPEED OF THE BUS INCLUDING STOPPAGES = 45 KMPH
LOSS IN SPEED WHEN INCLUDING STOPPAGES = 54 – 45 = 9KMPH
=> IN 1 HOUR, BUS COVERS 9 KM LESS DUE TO STOPPAGES
HENCE, TIME THAT THE BUS STOP PER HOUR = TIME TAKEN TO COVER 9 KM
=DISTANCE/SPEED=9/54 HOUR=1/6 HOUR = 60/6 MIN=10 MIN
Question 1176. There are 21 poles with a constant distance between each pole. A car takes 30 seconds to reach the 16th pole. How long does it take to reach the last pole?
  1.    39 seconds
  2.    40 seconds
  3.    39.38 seconds
  4.    39.5 seconds
 Discuss Question
Answer: Option B. -> 40 seconds
THE FIRST POLE IS CROSSED AT THE ZEROTH SECOND. THE TIMER STARTS AFTER THE CAR CROSSES THE FIRST POLE. LET THE DISTANCE BETWEEN EACH POLE BE X M. TO REACH THE 16TH POLE, THE DISTANCE TRAVELLED BY THE CAR IS 15X. THE SPEED OF THE CAR IS 15X/30 = X/2 M/S TO REACH THE 21ST POLE, IT HAS TO TRAVEL A DISTANCE OF 20X. TIME TAKEN
= 20X÷(X/2)
= 40 SECONDS
Question 1177. A person walking at 5/6th of his usual speed is 40 minutes late to his office. What is his usual travel time to his office?
  1.    3 hours 20 minutes
  2.    3 hours 15 minutes
  3.    3 hours 30 minutes
  4.    3 hours
 Discuss Question
Answer: Option A. -> 3 hours 20 minutes
LET HIS USUAL SPEED BE X KMPH, THE DISTANCE TO HIS OFFICE BE Y KM AND HIS USUAL TRAVEL TIME BE T HRS. Y = XT = (5/6)X * (T+(40/60)) SOLVING THE EQUATION,
T = 3.33 HRS = 3 HRS 20 MINUTES
Question 1178. A Man travelled a distance of 61 km in 9 hours. He travelled partly on foot at 4 km/hr and partly on bicycle at 9 km/hr. What is the distance travelled on foot?
  1.    12 km
  2.    14 km
  3.    16 km
  4.    18 km
 Discuss Question
Answer: Option C. -> 16 km
NO EXPLANATION IS AVAILABLE FOR THIS QUESTION!
Question 1179. A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour?
  1.    8.2
  2.    4.2
  3.    6.1
  4.    7.2
 Discuss Question
Answer: Option D. -> 7.2
NO EXPLANATION IS AVAILABLE FOR THIS QUESTION!
Question 1180. A and B go cycling in the same direction with speeds of 6 km/hr and 12 km/hr. A car from behind passes them in 9 and 10 seconds respectively. What is the speed of the car?
  1.    22 km/hr
  2.    33 km/hr
  3.    66 km/hr
  4.    44 km/hr
 Discuss Question
Answer: Option C. -> 66 km/hr
THE RELATIVE SPEED OF A AND B IS 6 KM/HR = 1.67 M/S
AS THE CAR PASSES A AFTER 10S, THE DISTANCE BETWEEN A AND B AFTER 10S (I.E. AT 11TH SECOND) IS THE DISTANCE COVERED BY CAR IN 1 SECOND.
THEREFORE, AT T = 11, D = 1.67 * 11
D = 18.33 M
V = D/T = 18.33/1 = 18.33M/S
V = 66 KM/HR

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