Correct Answer - Option 4 : 45 minutes
Given:
Speed = 12 km/hr.
And after every km, A takes rest for 3 minutes.
Formula used:
Time = Distance/Speed
Concept used:
Time taken to cover the last 1 km distance will not include the rest time as the entire distance has been covered.
Calculation:
According to the question:
Time taken to cover 1 km distance = Distance/Speed
⇒ Time = 1/12 hr. = (1/12 × 60) = 5 min.
Including rest time, time taken to cover 1 km distance = (5 + 3)min = 8 min.
Time taken to cover 5 km distance = (5 × 8) min. = 40 min.
And time taken to cover 6 km distance = (40 +1 × 5) min.
⇒ 40 + 5 = 45 min.
∴ Time A will take to cover a distance of 6 km is 45 minutes.