​Two persons A and B are travelling towards each other at the speeds of 10 km/h and 14 km/h. The distance between them is 24 km. Find the time taken by them to meet each other. ​

Correct option is C

Given:

Speed of person A = 10 km/h

Speed of person B = 14 km/h

Distance between them = 24 km

Formula Used:

​$$\ \text{Time } = \frac{\text{Distance}}{\text{Speed}}$$ ​

Solution: 

Two persons A and B are travelling towards each other so: 

​Relative speed = Speed of A + Speed of B

$$\text{Relative speed} =10km/h+14km/h=24km/h$$ 

$$\text{Time taken to meet} = \frac{\text{Distance}}{\text{Relative speed}}$$ 

$$\text{Time} = \frac{24 \, \text{km}}{24 \, \text{km/h}} = 1 \, \text{hour}$$​ 

Thus, the time taken for them to meet each other is 1 hour.​

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