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 D

​Given:

Distance covered = 2.5 km

Time taken = 4 minutes 10 seconds = 4$$+ \frac{1}{6} = \frac{24}{6} + \frac{1}{6} = \frac{25}{6}$$​ minutes

Required distance = 6 km

Concept Used:

Since the speed remains the same, the time taken is directly proportional to the distance:

Time ∝ Distance

Solution:

Using unitary method:

​$$\text{Time for 6 km} = \left( \frac{\text{Time for 2.5 km} \times 6}{2.5} \right)$$​

​$$\text{Time} = \frac{\left( \frac{25}{6} \times 6 \right)}{2.5} = \frac{150}{6 \times 2.5} = \frac{150}{15} = 10 \text{ minutes}$$​