Calculating Distance Between Movers in Same Direction
To determine the distance between two individuals moving in the same direction, we calculate their relative speed and multiply it by the time elapsed.
Problem Details
- Speed of Person A ($v_A$): $3 \text{ km/h}$
- Speed of Person B ($v_B$): $4 \text{ km/h}$
- Time duration ($t$): $6 \text{ h}$
- Direction of movement: Same
Relative Speed
When two entities travel in the same direction, their relative speed is the absolute difference between their speeds.
Relative Speed ($v_{rel}$) = $|v_B - v_A|$
$v_{rel} = |4 \text{ km/h} - 3 \text{ km/h}| = 1 \text{ km/h}$
Final Distance
The distance separating them after the given time is found using the formula: Distance = Relative Speed $\times$ Time.
Distance = $v_{rel} \times t$
Distance = $1 \text{ km/h} \times 6 \text{ h}$
Distance = $6 \text{ km}$
After 6 hours, the distance between person A and person B will be 6 km.
Similar Questions
- Rohan can travel from Delhi to Kanyakumari in 30 h. If he reduces his speed by $\frac{1}{15}$th, he goes 10 km less in the same time. Find the speed.
- How many poles will be covered by a train in 4 hours if the train is running at a speed of 45 km/hr, given that the poles on the railway track are 50 m apart and the train crosses a pole at the beginning of its journey.
- The speeds of three trains are in the ratio of 2 : 3 : 5. The amount of time taken by these trains to travel the same distance is in the ratio of:
- Train A leaves station M at 6:25 AM and reaches station N at 3:25 PM on the same day. Train B leaves station N at 8:25 AM and reaches station M at 2:25 PM on the same day. Find the time when trains A and B meet.
- If a train runs at an average speed of 42 km/h, then it covers a certain distance in 45 min. What is the speed at which the train must run to reduce the time of the same journey to 35 min?
- The speeds of three cars are in the ratio of 2 : 3 : 4. The ratio of respective time taken by these cars to travel the same distance is:
- Two women walk from a place at the speeds of 6 km/h and 8 km/h respectively. First woman takes 40 min more than the second one to cover the distance. Find the distance.
- The earth takes 24 h to rotate about its own axis. Through what angle will it turn in 5 h and 24 min?
- A horse is running at a speed of 40 km/h and it covers its distance in 3 h. If it has to cover that distance in $2\frac{1}{2}$ h, at what speed should it run?
- A cyclist takes 13 h to cover certain distance. He travels first half of the distance at a speed of 7 km/h and the second half at a speed of 6 km/h. Find the distance.
Important Questions from Speed Time and Distance
A train travelling at a speed of 72 km/hr crosses a post in 20 seconds. If it crosses another train travelling at a speed of 54 km/hr in the same direction in 1 minute 45 seconds, then the difference in length between the two trains is
Rajiv's boat can travel along the current at the 8 km/hour and against the current at the rate 6 km/hour. Find the time taken by the boat to sail 28 km in still water.
Two trains running in opposite directions cross a man standing on the platform in 25 seconds and 32 seconds respectively and they cross each other in 30 seconds. The ratio of their speed is:
A worker covers a distance of 81 km in 11 hours. He travels partly on foot at 4.5 km/h and partly on bicycle at 15 km/h. What is the distance covered on the cycle?
A car travels from a place X to place Y at an average speed of v km/hr from y to X at an average speed of 2v km/hr, again from X to y at an average speed of 3v km/hr and again from y to x at an average speed of 4v km/hr. Then the average speed of the car for the entire journey
