Convert a car's speed of $72 \text{ km/h}$ to units of meters per second $(\text{m/s})$.
A bullet train travels at a speed of $35 \text{ m/s}$. What is this speed expressed in kilometers per hour $(\text{km/h})$?
To convert a speed from $\text{km/h}$ to $\text{m/s}$, we can multiply by the fraction $\frac{5}{18}$. Use this method to convert $108 \text{ km/h}$.
A cyclist maintains a constant speed of $12.5 \text{ m/s}$. What is this speed in $\text{km/h}$?
A particle's velocity is defined by the expression $V = 10 + 2t$ in units of m/s, where $t$ is time in seconds. If we express this velocity in km/h, what is the correct formula $V_{km/h}$ in terms of $t$?
A train travels at a speed of $31.25$ m/s. A car travels $12.5$ km/h slower than the train. What is the speed of the car in km/h?
Object X has a speed of $144$ km/h. Object Y has a speed that is $25\%$ faster than Object X. Object Z has a speed of $45$ m/s. Which of the following is true regarding their relative speeds?
A drone flies for 4 minutes at a constant speed of $18$ m/s, and then immediately flies for 10 minutes at a constant speed of $54$ km/h. What is the total distance covered by the drone in kilometers?
A driver travels for $1$ hour at a speed of $60$ km/h, and then travels for the next $3$ hours at a speed of $40$ km/h. What is the driver's average speed for the entire journey?
A train completes the first $150$ km of its journey at an average speed of $50$ km/h. It then completes the remaining $50$ km at an average speed of $25$ km/h. What is the average speed of the train for the whole $200$ km journey?
A cyclist spends $75\%$ of their total cycling time traveling at $20$ km/h and the remaining $25\%$ of their time traveling at $12$ km/h. Find the average speed of the cyclist over the entire duration.
A truck travels $\frac{2}{3}$ of the total distance of a route at a speed of $60$ km/h and the remaining $\frac{1}{3}$ of the distance at a speed of $30$ km/h. What is the average speed of the truck for the entire route?
A car travels the first segment of its journey for $2$ hours at a speed of $60$ km/h. It then travels the second segment for $3$ hours at a speed of $80$ km/h. What is the average speed of the car for the entire journey?
A cyclist covers the first $30$ km of a race at a constant speed of $15$ km/h. He then covers the next $40$ km at a constant speed of $20$ km/h. What is the average speed of the cyclist for the entire $70$ km race?
A bus driver spends $40\%$ of the total travel time driving at $50$ km/h and the remaining $60\%$ of the travel time driving at $90$ km/h. Assuming no stops, what is the bus's average speed?
A robot covers $5$ meters in $10$ seconds, then covers $15$ meters in the next $20$ seconds. What is the robot's average speed over the total time period?
A passenger bus traveling at $80 \text{ km/h}$ is $60 \text{ km}$ behind a slower truck traveling at $50 \text{ km/h}$. Assuming both vehicles maintain their speed, how long, in hours, will it take for the bus to catch up to the truck?
A thief is running at a constant speed of $10 \text{ m/s}$. A police officer is $100 \text{ meters}$ behind the thief and runs at $12 \text{ m/s}$. How many seconds will it take for the police officer to catch the thief?
Runner A is $1 \text{ km}$ ahead of Runner B in a race. Runner A is running at $12 \text{ km/h}$, and Runner B is running at $15 \text{ km/h}$. How long, in minutes, will it take Runner B to overtake Runner A?
A speedboat traveling at $55 \text{ km/h}$ begins chasing a yacht that is $40 \text{ km}$ ahead. The yacht is traveling at $45 \text{ km/h}$. How many hours will it take for the speedboat to reach the yacht?
A truck is traveling at $60$ km/h. A car is $40$ km behind the truck and traveling in the same direction at $80$ km/h. How long, in hours, will it take for the car to catch up to the truck?
Runner A starts jogging at a speed of $10$ km/h. Half an hour later, Runner B starts from the same starting point and runs in the same direction at $12$ km/h. How long, in hours, after Runner B started, will they catch up to Runner A?
Train A is traveling at $15$ m/s. Train B starts $300$ meters behind Train A and travels in the same direction at $20$ m/s. Assuming both trains are point masses, how many seconds will it take Train B to catch up to Train A?
Cyclist Q is $10$ km ahead of Cyclist P, and both are cycling in the same direction. Cyclist Q travels at $15$ km/h and Cyclist P travels at $20$ km/h. What is the total distance (in km) Cyclist P travels until they catch up to Cyclist Q?
Two cars start simultaneously from two cities $200$ km apart and move towards each other. Car A travels at $50$ km/h and Car B travels at $30$ km/h. How long will it take for them to meet?
A train leaves Station P traveling towards Station Q at a speed of $60$ km/h. Simultaneously, a second train leaves Station Q traveling towards Station P at $40$ km/h. If the distance between P and Q is $350$ km, what is the relative speed at which they approach each other?
Two cyclists, $C_1$ and $C_2$, are $90$ meters apart and cycle towards each other. $C_1$ travels at $10$ m/s and $C_2$ travels at $5$ m/s. How many seconds will it take for them to meet?
Two buses are traveling towards each other along a $36$ km road. The first bus travels at $60$ km/h and the second bus travels at $30$ km/h. How long, in minutes, will it take for them to meet?
Two cars start $300$ km apart and move towards each other on a straight road. Car A travels at a speed of $40$ km/h and Car B travels at $60$ km/h. How many hours will it take for them to meet?
A runner and a cyclist are initially separated by a distance of $1200$ meters. The runner moves towards the cyclist at $4$ m/s, and the cyclist moves towards the runner at $6$ m/s. How many seconds will it take for them to meet?
Two objects are moving towards each other and meet in $1.5$ hours. If their speeds are $500$ km/h and $300$ km/h, what was the initial distance between them?
When calculating the time required for two objects moving directly towards each other to meet, the denominator used in the time formula ($T = D / S_{relative}$) is the:
A boat travels at $10$ km/h in still water. If the speed of the current is $2$ km/h, what is the boat's speed when traveling downstream?
A river ferry travels at $20$ km/h when moving downstream and $10$ km/h when moving upstream. What is the speed of the ferry in still water?
A canoeist can paddle at $8$ km/h in still water. If the river current is $2$ km/h, how long will it take the canoeist to paddle $18$ km upstream?
An airplane has a cruising speed of $150$ km/h in still air. If it encounters a tailwind (downstream equivalent) of $50$ km/h, how much time (in hours) will it take the airplane to cover a distance of $300$ km?
A boat travels at $10$ km/h in still water. The speed of the current is $2$ km/h. What is the boat's effective speed when traveling upstream?
A swimmer can travel at $15$ km/h in still water. The river flows at $3$ km/h. How long (in hours) will it take the swimmer to travel $36$ km downstream?
A motorboat covers a certain distance downstream at an average speed of $20$ km/h and covers the same distance upstream at an average speed of $12$ km/h. What is the speed of the current?
A steamer travels $40$ km upstream in $5$ hours and returns the same $40$ km downstream in $4$ hours. Find the speed of the steamer in still water.
A train $100 \text{ m}$ long passes a stationary signal pole at a uniform speed of $20 \text{ m/s}$. How long, in seconds, does it take for the train to completely pass the pole?
A passenger train is $150 \text{ m}$ long. It enters a tunnel $350 \text{ m}$ long and travels through it at a constant speed of $25 \text{ m/s}$. Calculate the time taken, in seconds, for the train to fully exit the tunnel.
A train $200 \text{ m}$ long crosses a railway bridge that is $300 \text{ m}$ long. If the entire process takes $20$ seconds, what is the speed of the train in $\text{km/h}$?
A train moving at a speed of $54 \text{ km/h}$ takes $20$ seconds to pass completely through a tunnel $160 \text{ m}$ long. What is the length of the train?
A train is travelling at a speed of $36 \text{ km/h}$. If the length of the train is $100 \text{ m}$, how long does it take for the train to completely pass a stationary signal pole?
A train $150 \text{ m}$ long is moving at a speed of $72 \text{ km/h}$. How much time does it take for the train to cross a bridge $350 \text{ m}$ long?
A train crosses a $200 \text{ m}$ long platform in $20$ seconds. If the speed of the train is $54 \text{ km/h}$, what is the length of the train?
A train is moving at $90 \text{ km/h}$. If it takes $8$ seconds to pass a stationary man standing on the track, what is the length of the train?
A motorist increases their average speed by $25\%$ for a fixed journey. If the distance remains constant, what is the ratio of the new travel time to the original travel time?
A runner plans to reduce their usual travel time of 60 minutes for a certain track down to 50 minutes. If the distance is constant, what is the required ratio of the new speed to the original speed?
Due to unexpected roadworks, a truck driver reduces their average speed by $20\%$ while covering the same total distance. By what percentage will the travel time increase?
A boat covers a certain distance. If its speed is $40\text{ km/h}$, it takes $T$ hours. If its speed is increased to $50\text{ km/h}$, the journey takes 2 hours less than $T$. Find the value of $T$.