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

A part of a journey is covered in $1$ hour $40$ minutes at $75$ km/hr and the remaining part of it is covered in $2$ hours $50$ minutes at $60$ km/hr. Find the total length of the journey.
  1. $165$ km
  2. $295$ km
  3. $200$ km
  4. $250$ km
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Distance = speed * time. First part: 1 hour 40 minutes = 5/3 hours. Distance = 75 * (5/3) = 125 km. Second part: 2 hours 50 minutes = 17/6 hours. Distance = 60 * (17/6) = 170 km. Total distance = 125 + 170 = 295 km.

Multiple choice

A distance of $33$ km is covered in one hour $12$ minutes . If the first $15$ km is covered at the speed of $25$ km per hour , find the speed during the remaining distance .
  1. $35$ km/hr
  2. $20$ km/hr
  3. $30$ km/hr
  4. $15$ km/hr
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total time = 1 hr 12 min = 1.2 hours. Total distance = 33 km. First 15 km at 25 km/hr takes 15/25 = 0.6 hours. Remaining distance = 33 - 15 = 18 km. Remaining time = 1.2 - 0.6 = 0.6 hours. Speed = 18 / 0.6 = 30 km/hr.

Multiple choice

A man completed a trip of $136$ km in $8$ hours. Some parts of the trip was covered at $15$ km/hr and the remaining at $18$ km/hr. Find the part of the trip covered at $18$ km/hr.
  1. $120$ km
  2. $109$ km
  3. $57$ km
  4. $96$ km
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let the time spent traveling at 18 km/h be t hours, which means the time spent traveling at 15 km/h is 8 - t hours. Setting up the distance equation, we get 18t + 15(8 - t) = 136, which simplifies to 3t = 16, or t = 16/3 hours. Multiplying this time by the speed of 18 km/h gives a distance of 96 km.

Multiple choice

Two train start at the same time from two stations and proceed towards each other with speeds $40$ km per hour and $45$ km per hour respectively. When they meet, it is found that one train has travelled $40$ km more than other. Find the distance between the two stations.
  1. $360$ km
  2. $680$ km
  3. $720$ km
  4. $550$ km
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Relative speed = 40 + 45 = 85 km/h. Let time be t. Distance 1 = 40t, Distance 2 = 45t. 45t - 40t = 40. 5t = 40, t = 8 hours. Total distance = (40+45) * 8 = 85 * 8 = 680 km.

Multiple choice

One day, Manisha covered a distance of $24$ km at $x$ km/hr and another $40$ km at $y$ km/hr. Next day, she covered $18$ km at $x$ km/hr and another $48$ km at $y$ km/hr. If each day she took $9$ hours to complete her journey find the values of $x$ and $y$.
  1. $x = 7$ and $y = 12$
  2. $x = 6$ and $y = 8$
  3. $x = 2$ and $y = 5$
  4. $x = 17$ and $y = 3$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Day 1: 24/x + 40/y = 9. Day 2: 18/x + 48/y = 9. Multiply first by 3 and second by 4: 72/x + 120/y = 27 and 72/x + 192/y = 36. Subtracting: 72/y = 9 => y = 8. Substitute y=8 into first: 24/x + 40/8 = 9 => 24/x + 5 = 9 => 24/x = 4 => x = 6.

Multiple choice

A man walks a certain distance with certain speed. If he walks $\dfrac {1}{2}$ km an hour faster, he takes 1 hour less. But, if he walks 1 km an hour slower, he takes 3 more hours. Find the distance covered by the man and his original rate of walking

  1. Distance = 45 km, Original speed = 5 km/hr

  2. Distance = 36 km, Original speed = 4 km/hr

  3. Distance = 63 km, Original speed = 7 km/hr

  4. Distance = 72 km, Original speed = 8 km/hr
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let distance be D and speed be v. D/v - D/(v+0.5) = 1 and D/(v-1) - D/v = 3. Solving these equations yields v = 4 km/hr and D = 36 km.

Multiple choice

A man can walk uphill at the rate of $\displaystyle 2\dfrac{1}{2} $ km/hr and downhill at the rate of $\displaystyle 3\frac{1}{4} $ km/hr. If the total time required to walk a certain distance up the hill and return to the starting point was $4$ hours $36$ minutes, then what was the distance he walked up the hill?
  1. $\displaystyle 6\frac{1}{2} $ m
  2. $\displaystyle 5\frac{1}{2} $ m
  3. $\displaystyle 4\frac{1}{2} $ m
  4. $4$ km
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let d be the distance. Time = d/2.5 + d/3.25 = 4.6 hours. d(1/2.5 + 1/3.25) = 4.6. d(0.4 + 0.3077) = 4.6. d(0.7077) = 4.6. d = 6.5 km. Note: The unit in options is 'm' but should be 'km'.