
Given: The following line chart gives the distance covered, average speed and rest time for five different modes of transport used by Rajiv for five different journeys. Here, the average speed is calculated without considering rest time.
Asked: Which of the following is the vehicle that took the minimum travel time when considering the rest time?
Bike:
Distance = 15 km
Speed = 60 kmh
Travel time = Distance / speed = 15/60 hrs = 15 mins
Rest time = 210 mins
Travel time including rest time = Travel time + Rest time = 15 + 210 = 225 mins
Bicycle:
Distance = 15 km
Speed = 45 kmh
Travel time = Distance / speed = 15/45 = 1/3 hour = 20 mins
Rest time = 195 mins
Travel time including rest time = Travel time + Rest time = 20 + 195 = 215 mins
Car:
Distance = 30 km
Speed = 20 kmh
Travel time = Distance / speed = 30/20 = 1.5 hour = 90 mins
Rest time = 90 mins
Travel time including rest time = Travel time + Rest time = 90 + 90 = 180 mins
Train:
Distance = 45 km
Speed = 40 kmh
Travel time = Distance / speed = 40/45 = 8/9 hour = 160/3 mins = 53.33 mins
Rest time = 250 mins
Travel time including rest time = Travel time + Rest time = 53.33 + 250 = 303.33 mins
Van:
Distance = 60 km
Speed = 75 kmh
Travel time = Distance / speed = 60/75 = 48 mins
Rest time = 300 min
Travel time including rest time = Travel time + Rest time = 48 + 300 = 348 mins
Minimum travel time is of car = 180 mins
IMO C