Quantitative Aptitude

Time, Speed and Distance

2,165 Questions
All Core formulas and unit conversion 441 Boats and streams effective speed 396 Relative speed, meetings, and overtaking 375 Average speed 362 Early and late arrival 321 Proportional relationships 202 Stoppage time per hour 35 Train and stationary or moving object crossing 17 Races and dead heats 16

Time, Speed and Distance Questions

Multiple choice

Passage

Directions: The three planes on a same airport travels to different destination by different routes. The data of 3 planes is given below. Plane M = Its speed is 800 km/hr and time taken by plane M is 20% more than Plane O. Plane N = It travels 25% less distance than plane M. Plane O = It covered 4,800 km in 8 hours.

If the speed of plane M increases by 25%, then how much time will plane M save if it covers the same distance as earlier?

  1. 1.92 hours

  2. 1 hour

  3. 0.32 hours

  4. 0.96 hours

  5. 2 hours
Reveal answer Fill a bubble to check yourself
A Correct answer
Multiple choice

Passage

Directions: The given question is followed by two statements labelled I and II. You have to determine whether the data given in the statements is sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer.

Two trains P and Q, some kilometres apart, are moving towards each other. Find the speed of train P. I. Train Q runs 16 km/h faster than train P. Train P stops at a station and does not move further from where it is, and train Q keeps moving. After that, train Q will take 28 hours to meet train P. II. The distance between both the trains was 1820 km when train P stopped at a station.

  1. The question can be answered by using statement I alone but cannot be answered using the other statement alone.

  2. The question can be answered using statement II alone but cannot be answered using the other statement alone.

  3. The question can be answered using either of the statements alone.

  4. The question can be answered using both the statements together but cannot be answered using either of the statements alone.

  5. The question cannot be answered even using both the statements together.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Statement I gives the speed difference and time to meet, but not the distance at the moment P stops. Statement II gives the distance. Together, we can solve for the speeds. Neither alone is sufficient.

Multiple choice

Passage

Directions: The data below provides information about two cars, P and Q, travelling from city M to city N at the same speed. Read the data carefully and answer the following question. Car P: Car P departs from city M and, after travelling 80 km, reduces its speed by 20%. The car reaches city N at 2:00 P.M. Car Q: Car Q departs from city M at the same time as Car P and, after travelling 425 km, reduces its speed by 40%. The car reaches city N at 1:30 P.M. If both cars travelled with their original speeds, then they will reached city N at 12:00 P.M.

If the speed of car R is 16 2 3 % more than the original speed of car P, then find the time taken by car R to cover the distance between city M and city N.

  1. 6 hours

  2. 7 hours

  3. 8 hours

  4. 9 hours

  5. 10 hours
Reveal answer Fill a bubble to check yourself
C Correct answer
Multiple choice

Passage

Directions: The data below provides information about two cars, P and Q, travelling from city M to city N at the same speed. Read the data carefully and answer the following question. Car P: Car P departs from city M and, after travelling 80 km, reduces its speed by 20%. The car reaches city N at 2:00 P.M. Car Q: Car Q departs from city M at the same time as Car P and, after travelling 425 km, reduces its speed by 40%. The car reaches city N at 1:30 P.M. If both cars travelled with their original speeds, then they will reached city N at 12:00 P.M.

Find the sum of time taken by car P and car Q to cover the distance between city M & N, if both cars cover the total distance at their original speed.

  1. 14 2 3 hours

  2. 15 1 3 hours

  3. 18 2 3 hours

  4. 16 hours

  5. 18 hours
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let original speed be v and distance be D. From Car P: 80/v + (D-80)/(0.8v) = D/v + 2, giving D = 80 + 8v. From Car Q: 425/v + (D-425)/(0.6v) = D/v + 1.5, giving D = 425 + 2.25v. Solving yields v = 60 km/hr and D = 560 km. Each car takes 560/60 = 28/3 hours, so the sum is 56/3 = 18 and 2/3 hours.

Multiple choice

Passage

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How many kilometres long is the route from A to B? (I) It will take 1 hour less time to travel the entire route at an average rate of 55 km/hr than at an average rate of 50 km/hr. (II) Route AB is more than 80 km long.

  1. (1)

  2. (2)

  3. (3)

  4. (4)
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let distance be D. D/50 - D/55 = 1. (11D - 10D) / 550 = 1 => D = 550. Statement (I) is sufficient. Statement (II) is just a condition. Thus (1) is sufficient.