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18 Jun 2021, 02:45
Kudos
Bookmarks
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
71% (02:24) correct
29%
(02:46)
wrong
based on 329
sessions
History
Date
Time
Result
Not Attempted Yet
A bus started driving towards the North from point X, travelling at a constant rate of 40 km per hour. An hour later, a truck started driving towards the North from the same point X at a constant rate of 30 km per hour. If each vehicle started with 8 litres of diesel, that was consumed at a rate of 30 km per litre, how many kilometres apart were the two vehicles when the bus ran out of fuel?
(A) 30
(B) 60
(C) 90
(D) 120
(E) 150
(A) 30
(B) 60
(C) 90
(D) 120
(E) 150
18 Jun 2021, 03:47
Kudos
Bookmarks
Solution:
For Bus:
Speed \(= 40 km/hr\)
Diesel \(= 8 lts\)
Comsumption \(= 30 km/lts\)
The distance this bus will go with 8 lts diesel \(= 8 \times 30 = 240km\)
Time it will take to cover this 240km \(= \frac{240}{40} = 6 hrs\)
For Truck:
Speed \(= 30km/hr\)
Diesel \(= 8 lts\)
Comsumption \(= 30 km/lts\)
The bus travelled for 6 hours and covered 240km.
The truck started an hour late, so travel time for truck \(= 5 hrs\)
Distance truck will go in 5 hours \(= 30\times 5 = 150km. \)
Distance between the 2 vehicles \(= 240 - 150 = 90km. \)
Hence the right answer is Option C.
For Bus:
Speed \(= 40 km/hr\)
Diesel \(= 8 lts\)
Comsumption \(= 30 km/lts\)
The distance this bus will go with 8 lts diesel \(= 8 \times 30 = 240km\)
Time it will take to cover this 240km \(= \frac{240}{40} = 6 hrs\)
For Truck:
Speed \(= 30km/hr\)
Diesel \(= 8 lts\)
Comsumption \(= 30 km/lts\)
The bus travelled for 6 hours and covered 240km.
The truck started an hour late, so travel time for truck \(= 5 hrs\)
Distance truck will go in 5 hours \(= 30\times 5 = 150km. \)
Distance between the 2 vehicles \(= 240 - 150 = 90km. \)
Hence the right answer is Option C.
18 Jun 2021, 05:03
Kudos
Bookmarks
Speed of bus = B = 40 km / hr and speed of truck = 30 km / hr.
Each vehicle had 8 litres of diesel.
Fuel consumption of each vehicle = 30 km / litre. This means 1 litre of diesel was needed to cover 30 km.
Therefore, distance covered by bus = 30 km/litre * 8 litres = 240 km.
Time taken by bus to cover 240 km = \(\frac{240 }{ 40}\) = 6 hours.
Since truck started driving one hour later than the bus, it would have travelled for 5 hours by the time the bus ran out of fuel.
Distance covered by truck = 30 km / hr * 5 hrs = 150 km.
The two vehicles were 90km apart when the bus ran out of fuel.
The correct answer option is C.
Hope that helps!
Aravind B T
Each vehicle had 8 litres of diesel.
Fuel consumption of each vehicle = 30 km / litre. This means 1 litre of diesel was needed to cover 30 km.
Therefore, distance covered by bus = 30 km/litre * 8 litres = 240 km.
Time taken by bus to cover 240 km = \(\frac{240 }{ 40}\) = 6 hours.
Since truck started driving one hour later than the bus, it would have travelled for 5 hours by the time the bus ran out of fuel.
Distance covered by truck = 30 km / hr * 5 hrs = 150 km.
The two vehicles were 90km apart when the bus ran out of fuel.
The correct answer option is C.
Hope that helps!
Aravind B T
