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A truck travelling at 70 MPH uses 30% more gasoline to travel

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A truck travelling at 70 MPH uses 30% more gasoline to travel  [#permalink]

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New post Updated on: 16 Jan 2018, 11:55
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A truck travelling at 70 MPH uses 30% more gasoline to travel a certain distance than at 50 MPH. If the truck can travel 19.5 miles on a litre of gasoline at 50 MPH, how far the truck can travel at 70 MPH on 10litres of gasoline?

A) 100
B)150
C)175
D)200
E)125

Originally posted by cptholt on 05 Jun 2017, 20:54.
Last edited by cptholt on 16 Jan 2018, 11:55, edited 2 times in total.
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Re: A truck travelling at 70 MPH uses 30% more gasoline to travel  [#permalink]

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New post 05 Jun 2017, 21:24
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The truck travels at 19.5 Miles/L at the rate of 50 miles/hr. So it should travel 19.5 / 1.3 Miles/L at the rate of 70 miles/hr = 15 miles/L.
The distance covered by truck for 1 litre of fuel is 15 Miles.

Can you check the options ? It looks like the correct answer should be 15 Miles not 150.
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Re: A truck travelling at 70 MPH uses 30% more gasoline to travel  [#permalink]

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New post 06 Jun 2017, 03:53
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theperfectgentleman wrote:
A truck travelling at 70 MPH uses 30% more gasoline to travel a certain distance than at 50 MPH. If the truck can travel 19.5 miles on a litre of gasoline at 50 MPH, how far the truck can travel at 70 MPH?

A) 100
B)150
C)175
D)200
E)125


"A truck travelling at 70 MPH uses 30% more gasoline to travel a certain distance than at 50 MPH."

So if the truck uses 1 litre to travel 19.5 miles at 50 mph, it will take 1.3 litres of gasoline to travel 19.5 miles at 70 mph.

So in 1 litre, it will travel only 19.5 * (1/1.3) = 15 miles

The question is missing the amount of fuel consumed. I assume it asks the distance traveled using 10 litres of gasoline. Then the answer would be 150 miles.
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Re: A truck travelling at 70 MPH uses 30% more gasoline to travel  [#permalink]

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New post 08 Jun 2017, 16:46
theperfectgentleman wrote:
A truck travelling at 70 MPH uses 30% more gasoline to travel a certain distance than at 50 MPH. If the truck can travel 19.5 miles on a litre of gasoline at 50 MPH, how far the truck can travel at 70 MPH on 10litres of Diesel?

A) 100
B)150
C)175
D)200
E)125


We can let the rate (in miles per litre) when traveling at 50 mph = 19.5/1.

Thus, the rate when traveling at 70 mph = 19.5/1.3 = 195/13 = 15 miles per litre, and with 10 litres of Diesel, the truck can travel 15 x 10 = 150 miles.

Answer: B
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Re: A truck travelling at 70 MPH uses 30% more gasoline to travel  [#permalink]

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New post 09 Jun 2017, 01:40
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It should be 150 miles. As at 70mph one will travel (19.5/1.3) miles per litre of fuel. We multiple it by 10 and get 150 miles.

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Re: A truck travelling at 70 MPH uses 30% more gasoline to travel  [#permalink]

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New post 09 Jun 2017, 08:47
Imo B

The truck can travel 19.5 miles in 1 litres of gasoline at 50 MPH
Then it will travel 19.5 miles in 1.3 litres at 70 miles per hour
Thus we can calculate now it will travel 150 miles

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Re: A truck travelling at 70 MPH uses 30% more gasoline to travel  [#permalink]

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Re: A truck travelling at 70 MPH uses 30% more gasoline to travel   [#permalink] 19 Aug 2019, 00:49
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