Answer :
Final answer:
The distance of the journey is 66.67 km. Traveling at 80 km/h, it will take 50 minutes to cover that distance, making option (A) the correct answer.
Explanation:
The journey takes 40 minutes at 100 km/h, we can calculate the distance:
Distance = Speed × Time = 100 km/h × (40/60) h = 66.67 km
Now let's calculate the time it would take to travel the same distance at 80 km/h:
Time = Distance / Speed = 66.67 km / 80 km/h = 0.8333 hours
To convert hours into minutes, we multiply by 60:
Time in minutes = 0.8333 h × 60 min/h = 50 minutes
Therefore, the travel time when going at 80 km/hr would be 50 minutes, corresponding to option (A).