A cyclist covers a distance of 2.5 km in 4 minutes 10 seconds. How long will he take to cover a distance of 6 km at the same speed?

Correct option is C

Given: ​

Distance travelled = 2.5 km 

$$4 \text{ minutes } 10 \text{ seconds} = (4 \times 60) + 10 = 250 \text{ seconds}$$

Formula Used:

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

Solution:

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

Original speed; 

$$\text{Speed} = \frac{2.5 \, \text{km}}{250 \, \text{seconds}} = 0.01 \, \text{km/second}$$ 

Time taken to cover 6 km;

$$\text{Time} = \frac{6 \, \text{km}}{0.01 \, \text{km/second}} = 600 \, \text{seconds}$$ 

600 seconds = 10 minutes 

Thus, the time taken to cover 6 km with same speed is 10 min.