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Quantitative Aptitude

SPEED TIME AND DISTANCE MCQs

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

Total Questions : 1223 | Page 3 of 123 pages
Question 21.

  1. The ratio between the walking speeds of Sumit and Amit is 3 : 4. The time taken by Amit to cover a certain distance is 24 minutes; then time taken by Sumit to cover that much distance is

  1.    30 min
  2.    32 min
  3.    34 min
  4.    36 min
 Discuss Question
Answer: Option B. -> 32 min
Question 22.

  1. Walking at \(\frac{3}{5}\) th of his normal speed, Sanju reaches his friend’s house 1 hour 20 minutes late. Find his usual time.

  1.    1 hr
  2.    2 hr
  3.    3 hr
  4.    4 hr
 Discuss Question
Answer: Option B. -> 2 hr
Question 23.

  1. Walking at  \(\frac{5}{4}\)th of his usual speed, Mr. Subramaniam reaches his office 10 minutes early. Find his usual reaching time.

  1.    40 min
  2.    50 min
  3.    60 min
  4.     non e of these
 Discuss Question
Answer: Option B. -> 50 min
Question 24.
  1. Sujit runs at 6 km/hour and Rana at 8 km/hour. Rana catches Sujit in 9 minutes. What was the distance between Sujit and Rana, when Rana started?

  1.    100 m
  2.    200 m
  3.    300 m
  4.    400 m
 Discuss Question
Answer: Option C. -> 300 m
To solve the problem, we need to use the formula:
distance = speed x time
Let's assume that Sujit and Rana start running at the same time. Since Rana catches Sujit, the distance between them is the same as the distance Rana covers during the time it takes to catch up to Sujit.
Let's first convert 9 minutes to hours, as both speeds are given in km/hour:
9 minutes = 9/60 hours = 0.15 hours
Let d be the distance between Sujit and Rana when Rana started running. Then we have:
distance = speed x time
Distance covered by Sujit = 6 x 0.15 = 0.9 kmDistance covered by Rana = 8 x 0.15 = 1.2 km
Let's assume that Rana catches up to Sujit at time t. Then we have:
Distance covered by Rana in time t = Distance covered by Sujit in time t + d
1.2t = 0.9t + d0.3t = d
We know that Rana catches up to Sujit in 9 minutes or 0.15 hours. Substituting this value in the above equation, we get:
d = 0.3 x 0.15 = 0.045 km = 45 m
Therefore, the distance between Sujit and Rana when Rana started running was 45 meters or 0.045 kilometers. Hence, the correct option is C.
To summarize, the solution involves the following steps:
  • Convert the time given in minutes to hours.
  • Use the formula distance = speed x time to calculate the distance covered by Sujit and Rana.
  • Use the fact that Rana catches up to Sujit to set up an equation involving the distance and time variables.
  • Substitute the value of time to solve for the distance between Sujit and Rana when Rana started running
If you think the solution is wrong then please provide your own solution below in the comments section .
Question 25.

  1. A railway passenger counts the telegraph posts on the railway track as he passes them. If they are 40 metres apart and the train is going at a speed of 24 km/hour how many will he pass per minute?

  1.    10
  2.    12
  3.    14
  4.    16
 Discuss Question
Answer: Option A. -> 10
Question 26.

  1. A man can row 30 km upstream and 44 km downstream in 10 hours, while he can row 40 km upstream and 55 km downstream in 13 hours. Find the rate of current and speed of man in still water.

  1.    2 km/hr , 6 km/hr
  2.    3 km/hr , 8 km/hr
  3.    4 km/hr , 10 km/hr
  4.    none of these
 Discuss Question
Answer: Option B. -> 3 km/hr , 8 km/hr
Question 27.

  1. A man can row \(4\frac{1}{2}\)km/hour in still water and he finds that it takes him twice as long to row up as to row down a river. Find the rate of the river.

  1.    1 km/hr
  2.    1.5 km/hr
  3.    2 km/hr
  4.    2.5 km/hr
 Discuss Question
Answer: Option B. -> 1.5 km/hr
Question 28.

  1. A train takes 36 seconds more to cover 3.6 km if its speed is reduced by  \(\frac{1}{9}\)th. The original speed of the train is

  1.    45 km/hr
  2.    48 km/hr
  3.    52 km/hr
  4.     none of these
 Discuss Question
Answer: Option A. -> 45 km/hr
Question 29.

  1. A boat covers 3 kilometres upstream or 8 kilometres downstream in 2 hours. In what time shall it cover 11 kilometres in still water?

  1.    1 hr
  2.    2  hr
  3.    3  hr
  4.    4 hr
 Discuss Question
Answer: Option D. -> 4 hr
Question 30.

  1. Two trains measuring 100 metres and 80 metres are running on parallel lines. If they are going in the same direction, the faster one takes one minute to pass the other completely. If they are going in opposite directions, they pass each other completely in 3 seconds. Find the speed of each train in metres per second.

  1.    30.5 ms– 1 , 27.5 ms– 1 
  2.    31.5 ms– 1 , 28.5 ms– 1 
  3.    40.5 ms– 1 , 37.5 ms– 1 
  4.    41.5 ms– 1 , 38.5 ms– 1 
 Discuss Question
Answer: Option B. -> 31.5 ms– 1 , 28.5 ms– 1 

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