Distance, Time & Speed – Aptitude Questions & Answers – Free Practice!
Review Speed, Distance and Time concepts
Q. 1 Convert given speed into m/s: Speed = 30 km/h
Check Solution
Ans: C
1 km = 1000m and 1 h = 3600 s. So multiply the given speed by (1000/3600) to convert it into m/s
Q. 2 Two high-speed trains begin their journey from towns A and B, 300 km apart, rushing towards each other on parallel tracks. Train A races at a speed of 60 km/h, while Train B runs at 40 km/h. How much time will it take for the two trains to meet, assuming they started simultaneously?
Check Solution
Ans: B) 3 hours
Relative speed = 60 + 40 = 100 km/h.
Time taken = Distance / Relative speed = $\frac{300}{100} = 3$ hours.
Q. 3 A migrating bird flew south at 52 km/h for 7 hours. What distance did the bird travel?
Check Solution
Ans: A
Use the direct formula, Distance = Speed * Time
Q. 4 A train, 150 meters in length, passes a pole in 15 seconds. What is the speed of the train in km/h?
Check Solution
Ans: B) 36 km/h
Speed = Distance / Time = $\frac{150}{15} = 10$ m/s.
Converting to km/h: $10 \times 3.6 = 36$ km/h.
Q. 5 A cyclist covers a certain distance in 40 minutes at 18 km/h. Later, he decides to increase his pace, hoping to complete the same journey in just 30 minutes. What should be his required speed?
Check Solution
Ans: D) 24 km/h
Distance = Speed × Time = $18 \times \frac{40}{60} = 12$ km.
New speed = Distance / New time = $\frac{12}{\frac{30}{60}} = \frac{12}{0.5} = 24$ km/h.
Q. 6 Picture a boat navigating a serene river. It takes 2 hours to travel 24 km downstream, aided by the current, but requires 3 hours to cover the same distance upstream against the flow. Can you determine the speed of the river’s current?
Check Solution
Ans: A) 2 km/h
Downstream speed = $\frac{24}{2} = 12$ km/h, Upstream speed = $\frac{24}{3} = 8$ km/h.
Speed of the stream = $\frac{\text{Downstream speed} – \text{Upstream speed}}{2} = \frac{12 – 8}{2} = 2$ km/h.
Q. 7 A hoop that has a 12.5-inch radius is rolled along a flat path. It takes the hoop 10 seconds to finish one full turn. How many minutes will it take for the hoop to roll a distance of 75 feet?
Check Solution
Ans: B
Since the hoop has a radius of 12.5 inches, it has a circumference of:
2 x π x 12.5 = 25π = 25 x 3.14 = 78.5 inches
Since 1 foot is 12 inches, 75 feet is equivalent to 75 x 12 = 900 inches.
Thus, it will take 900/78.5 = 11.46 revolutions to roll the hoop 75 feet across the surface.
Since each revolution takes 10 seconds, 11.46 revolutions will take 114.6 seconds, or approximately 2 minutes.
Q. 8 A rower paddles downstream for 12 km, completing the journey in 2 hours. On the way back, against the current, the same distance takes 3 hours. Determine the speed of the rower’s boat in still water?
Check Solution
Ans: C) 5 km/h
Downstream speed = $\frac{12}{2} = 6$ km/h, Upstream speed = $\frac{12}{3} = 4$ km/h.
Speed in still water = $\frac{\text{Downstream speed} + \text{Upstream speed}}{2} = \frac{6 + 4}{2} = 5$ km/h.
Q. 9 Sarah covered 8 miles and took 3 hours, moving at either 6 miles per hour while running or 2 miles per hour while walking. How much of the distance did she walk compared to the total distance traveled?
Check Solution
Ans: D
Let the distance run be x miles and the distance walked be y miles.
We have, x + y = 8 …(i)
Also, time taken = 3 hours
Therefore, x/6 + y/2 = 3 …(ii)
Solving (i) for y, we get
y = 8 – x
Substituting this value of y in (ii), we get
x/6 + (8 – x)/2 = 3
⇒ x/6 + 4 – x/2 = 3
⇒ x/6 – x/2 = 3 – 4
⇒ (x – 3x)/6 = -1
⇒ -2x/6 = -1
⇒ -2x = -6
⇒ x = 3
Therefore, y = 8 – 3 = 5
Hence, the ratio of the distance walked to the distance traveled = y : (x + y)
= 5 : (3 + 5)
**= 5 : 8**
Q. 10 A car moving at 72 km/h overtakes a truck traveling at 54 km/h. If the car is 5 meters long and the truck is 15 meters long, how much time does the car take to pass the truck?
Check Solution
Ans: A) 4 seconds
Relative speed = 72 – 54 = 18 km/h = $18 \times \frac{5}{18} = 5$ m/s.
Total distance = 5 + 15 = 20 meters.
Time taken = $\frac{20}{5} = 4$ seconds.
Refer 1000s of Quant, Reasoning & Verbal Questions
Practice Speed Distance time questions for Bank Exams | SSC CGL | CAT Exam
Practice Simple & Compound Interest Qs
Test your skills on these word problems:
1. Math Behind F1 Speeds!
2. FC Barcelona’s Training Math
Crack Exams Fast & Smart with Adaptive Practice!
Placement | Banking | SSC CGL | CAT
✅ All Topics at One Place
🤖 Adaptive Question Practice
📊 Progress and Insights
