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21 Sep 2017, 03:46
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C
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Difficulty:
95%
(hard)
Question Stats:
42% (02:55) correct
58%
(02:25)
wrong
based on 186
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A bike running at 80 km/h initially is slowed down to 60 km/h as soon as the fuel indicator touches the half level mark. It keeps running at this speed till it runs out of fuel, thereby covering a total distance of 640 km in 10 hours. If the bike consumes 2 litres of fuel per hour, what is the capacity (in litres) of the fuel tank of the bike?
(A) 16
(B) 20
(C) 32
(D) 40
(E) 56
(A) 16
(B) 20
(C) 32
(D) 40
(E) 56
21 Sep 2017, 07:18
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Imo C
Let the distance traveled at speed 80 miles\hour be x
then distance traveled at speed 60 miles\hour =640-x
we know the total time =10 hours
So let T1 be time taken to travel x miles at 80 m\h =x\80
T2 be time taken to travel (640-x)\60
Now we have 10=x\80+ (640-x)\60
Solving the above equation we get x=160 so T1 =2 hours
therefore bike traveled 8 hours at speed 60 m\h
We are given that bike starts travelling at 60m\h when the fuel in tank reaches half the value
Rate of burning of fuel =2 litres \hour
Therefore it burnt 16 liters therefore the capacity of the tank is 32 liters
Let the distance traveled at speed 80 miles\hour be x
then distance traveled at speed 60 miles\hour =640-x
we know the total time =10 hours
So let T1 be time taken to travel x miles at 80 m\h =x\80
T2 be time taken to travel (640-x)\60
Now we have 10=x\80+ (640-x)\60
Solving the above equation we get x=160 so T1 =2 hours
therefore bike traveled 8 hours at speed 60 m\h
We are given that bike starts travelling at 60m\h when the fuel in tank reaches half the value
Rate of burning of fuel =2 litres \hour
Therefore it burnt 16 liters therefore the capacity of the tank is 32 liters
General Discussion
21 Sep 2017, 15:26
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nkmungila
Answer C.
I think the key is: Half of the fuel is used at 60 km per hour.
When the bike started traveling at 60 km per hour, it started with exactly half a tank of fuel, all of which was used up.
So the segment at 60 km/hr will yield the capacity of the tank.
Fuel consumption rate is given in hours. We need time, in hours, that the bike travels at 60 km/hr.
Total time is 10 hours
Total distance is 640 km
Time for 60 kmh, segment 2, = T
Time for 80 kmh, segment 1 = (10 - T)
Segment 1 (r*t) + Segment 2 (r*t) = Total Distance
80(10 - T) + 60T = 640
800 - 80T + 60T = 640
20T = 160
T = 8
So time taken at 60 km per hour is 8 hours.
Amount of fuel used:
8 hrs * \(\frac{2L}{hr}\) = 16 Liters
16 Liters is only half of the fuel capacity. Full fuel capacity therefore is
16L * 2 = 32 Liters
ANSWER C
