The following line chart gives the distance covered, average speed and

Which of the following is the vehicle that took the minimum travel time when considering the rest time?

(A) Bike
(B) Bicycle
(C) Car
(D) Train
(E) Van



Car:
210 / 60 = 3.5h = 3h 30min
travel time car: 3h 30min + 15min = 3h 45min

Bike:
195 / 45 = 4.33h = 4h 20min
travel time bike: 4h 20min + 15min = 4h 35min

Bicycle:
90 / 20 = 4.5h = 4h 30min
travel time bicycle: 4h 30min + 30min = 5h

Van:
250 / 40 = 6.25h = 6h 15min
travel time van: 6h 15min + 45min = 7h

Train:
300 / 75 = 4h
travel time train: 4h + 60min = 5h

=> car has minimum travel time
=> C

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

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________