Meeting Time Calculation for Two Buses
This problem involves calculating the time it takes for two objects moving towards each other to meet.
Understanding Relative Speed
When two objects move towards each other, their relative speed is the sum of their individual speeds. This relative speed determines how quickly the distance between them closes.
Solution Steps
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Identify Given Information:
- Distance between buses, $D = 76 \text{ km}$
- Speed of the first bus, $S_1 = 20 \text{ km/hr}$
- Speed of the second bus, $S_2 = 18 \text{ km/hr}$
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Calculate Relative Speed:
Since the buses are moving towards each other, we add their speeds:
Relative Speed, $S_{rel} = S_1 + S_2 = 20 \text{ km/hr} + 18 \text{ km/hr} = 38 \text{ km/hr}$
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Calculate Meeting Time:
The time taken to meet is the total distance divided by the relative speed:
Time, $T = \frac{D}{S_{rel}}$
Substitute the values:
$T = \frac{76 \text{ km}}{38 \text{ km/hr}}$
$T = 2 \text{ hrs}$
Conclusion
The two buses will meet each other after 2 hours.
Important Questions from Partial Speed
- A motorboat moves along a straight line path along a river bank from point A to point B. If the speed of the boat in still water is doubled, then the trip from A to B and back again would take 20% of the time that the motorboat usually takes for the journey. By how many times is the actual speed of the motorboat higher than the speed of the river flow?
- Walking at $\frac{3}{4}$ of his usual speed, a man is $1\frac{1}{2}$ hours late. His usual time to cover the same distance (in hours) is-
- A man covers distance of 1400 km in 80 days resting 10 hours a day. If he rests 16 hours a day and walks at 2.5 times the previous speed, then in how many days will he cover 1000 km?
- Two busses are at two different places 76 km apart. They start moving towards each other. If their speeds are 20 km/hr and 18 km/hr respectively, after how much time will they meet each other?
- A man covers distance of 1400km in 80 days resting 10 hours a day. If he rests 16 hours a day and walks at 2.5 times the previous speed, then in how many days will he cover 1000 km?
