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
- A man driving a car at a speed of 79 km/hr crosses a bridge in 3.6 minutes. Find the length of the bridge.
- 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.
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- 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.
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- 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?
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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.
Rohit and Dinesh are 64 km apart. Rohit can walk at a speed of 15 km/hr and Dinesh at the speed of 17 km/hr. In how many hours will they meet if they are travelling towards each other?
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?
