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Quantitative Aptitude

SPEED TIME AND DISTANCE MCQs

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

Total Questions : 1223 | Page 6 of 123 pages
Question 51.

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.    10 min
  2.    11 min
  3.    12 min
  4.    13 min
  5.    None of these
 Discuss Question
Answer: Option A. -> 10 min
 -  Due to stoppages, it covers 9 km less. Time taken to cover 9 km = (9/54 x 60) min = 10 min
Question 52.

A motor car starts with the speed of 70 km/hr with its speed increasing every two hours by 10 kmph. In how many hours will it cover 345 kms?

  1.    2 1/4 hrs
  2.    4 hrs 5 mins
  3.    4 1/2 hrs
  4.    Can not be determined
  5.    None of these
 Discuss Question
Answer: Option C. -> 4 1/2 hrs
 -  Distance covered in first 2 hours = (70 x 2) km = 140 km 
Distance covered in next 2 hours = (80 x 2) km = 160 km 
Remaining distance = 345 – (140 + 160) = 45 km. 
Speed in the fifth hour = 90 km/hr 
Time taken to cover 45 km = 45 90  hr = 1 2  hr          
Total time taken = 2 + 2 + 1 2  = 4 1 2  hrs
Question 53.

A person travels from P to Q at a speed of 40 kmph and returns by increasing his speed by 50%. What is his average speed for the both the trips?

  1.    36 kmph
  2.    45 kmph
  3.    48 kmph
  4.    50 kmph
  5.    None of these
 Discuss Question
Answer: Option C. -> 48 kmph
 -  Speed on return trip = 150% of 40 = 60 kmph
Average speed =   2 x 40 x 60 40 + 60  km/hr       = 4800 100  km/hr = 48 km/hr.
Question 54.

Bombay Express Left Delhi from Bombay at 14.30 hrs, travelling at a speed of 60 kmph and Rajdhani Express left. Delhi for Bombay on the same day at 16.30 hrs, travelling at a speed of 80 kmph. How far away from Delhi will the two trains meet?

  1.    120 km
  2.    360 km
  3.    480 km
  4.    540 km
  5.    None of these
 Discuss Question
Answer: Option C. -> 480 km
 -  Suppose they meet x hours after 14.30 hrs
Then, 60x = 80 (x – 2) or x = 8
Required distance = (60 x 8) km = 480 km
Question 55.

A man in a train notices that he can count 21 telephone posts in one minute. If they are known to be 50 meters apart, then at what speed is the train travelling?

  1.    55 kmph
  2.    57 kmph
  3.    60 kmph
  4.    63 kmph
  5.    None of these
 Discuss Question
Answer: Option C. -> 60 kmph
 -  Number of gaps between 21 telephone posts = 20 Distance traveled in 1 minute = (50 x 20) m = 1000 m = 1 km Speed = 60 km/hr
Question 56.

Two trains starting at the same time from two stations 200 km apart and going in opposite directions cross each other at a distance of 110 km from one of the stations. What is the ratio of their speeds?

  1.    9 : 20
  2.    11 : 9
  3.    11 : 20
  4.    9 : 20
  5.    None of these
 Discuss Question
Answer: Option B. -> 11 : 9
 -  In the same time, they cover 110 km and 90 km respectively. Ratio of their speeds = 110 : 90 = 11 : 9
Question 57.

A and B walk around a circular track. They start at 8 a.m. from the same point in the opposite directions. A and B walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. How many times shall they cross each other before 9.30 a.m.?

  1.    5
  2.    6
  3.    7
  4.    8
  5.    None of these
 Discuss Question
Answer: Option C. -> 7
 -  Relative speed = (2 + 3) = 5 rounds per hour So, they cross each other 5 times in an hour and 2 times in half an hour Hence, they cross each other 7 times before 9.30 a.m.
Question 58.

The distance between two cities A and B is 330 km. A train starts from A at 8 a.m. and travels towards B at 60 km/hr. Another train starts from B at 9 a.m. and travels towards A at 75 km/hr. At what time do they meet?

  1.    10 am
  2.    10:30 am
  3.    11 am
  4.    11:30 am
  5.    None of these
 Discuss Question
Answer: Option C. -> 11 am
 -  Suppose they meet x hrs after 8 a.m.
Then, (Distance moved by first in x hrs) + [Distance moved by second in (x-1) hrs] = 330
60x + 75(x – 1) = 330
x = 3
So, they meet at (8 + 3), i.e. 11 a.m
Question 59.

The speed of a car increases by 2 kms after every one hour. If the distance travelled in the first one hour was 35 kms, what was the total distance traveled in 12 hours?

  1.    456 kms
  2.    482 kms
  3.    552 kms
  4.    556 kms
  5.    None of these
 Discuss Question
Answer: Option C. -> 552 kms
 -  Total distance travelled in 12 hours = (35 + 37 + 39 + ...... upto 12 terms) This is an A.P. with first term,
a = 35, number of terms, n = 12, common difference, d =2.
Required distance =12/2 (2 x 35 + (12 - 1) x 2) = 6(70 + 22) = 552 kms
Question 60. A man can row 15 km/h in still water and he finds that it takes him twice as much time to row up than as to row down the same distance in the river. The speed of current (in km/h) :
  1.    6 km/h
  2.    6.5 km/h
  3.    4.5 km/h
  4.    5 km/h
 Discuss Question
Answer: Option D. -> 5 km/h

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