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?
2 hours
Calculating Meeting Time
This problem involves calculating the time it takes for two individuals, Rohit and Dinesh, to meet when travelling towards each other.
Given Information
- Distance between Rohit and Dinesh, d = 64 km
- Rohit's speed, vR = 15 km/hr
- Dinesh's speed, vD = 17 km/hr
- They are travelling towards each other.
Concept: Relative Speed
When two objects move towards each other, their speeds add up. This is called their relative speed. The formula for relative speed ($v_{rel}$) is:
$v_{rel} = v_R + v_D$
Step 1: Calculate Relative Speed
Add the speeds of Rohit and Dinesh:
$v_{rel} = 15 \text{ km/hr} + 17 \text{ km/hr} = 32 \text{ km/hr}$
Step 2: Calculate Time to Meet
The time ($t$) it takes for them to meet can be calculated using the formula:
$t = \frac{\text{Distance}}{\text{Relative Speed}} = \frac{d}{v_{rel}}$
Substitute the values:
$t = \frac{64 \text{ km}}{32 \text{ km/hr}}$
$t = 2 \text{ hours}$
Conclusion
Therefore, Rohit and Dinesh will meet in 2 hours.
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