Correct Answer - Option 2 : C
Given:
Total distance = 260 km
Time taken to cover the distance = 10 hours
Speed of car = 30 km/h
Speed of bike = 20 km/h
Calculation:
Let time taken by car be x
30 × x + 20 × (10 – x) = 260
⇒ 30x + 200 – 20x = 260
⇒ 10x = 60
⇒ x = 6
Time taken by car to cover a part of the distance = 6 hours
Time taken by bike to cover rest of the distance = 10 – 6 = 4 hours
Distance covered by car = 6 × 30 = 180 km
C. 80 km less than 260 km
Distance = 260 – 80 = 180
∴ C is correct.