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# A train travels 15 miles per ton of coal when it carries no cargo. Whe

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Math Expert
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A train travels 15 miles per ton of coal when it carries no cargo. Whe  [#permalink]

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31 Jul 2019, 08:32
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85% (01:39) correct 15% (02:54) wrong based on 71 sessions

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A train travels 15 miles per ton of coal when it carries no cargo. When the train is filled with cargo, it travels 80% as far on a ton of coal as it does when it has no cargo. If the train is filled with cargo, how many tons of coal will the train use to travel 160 miles?

A. 10 2/3
B. 12
C. 12 2/3
D. 13 1/3
E. 13 2/3

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Re: A train travels 15 miles per ton of coal when it carries no cargo. Whe  [#permalink]

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31 Jul 2019, 08:51
Train travels 80% less distance with a ton coal when it’s filled compared to when it’s empty. Hence filled train travels 0.8*15=12miles per ton of coal.

Total tons of coal for 160 miles = 160/12=40/3=13+1/3 tons of coal.

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Re: A train travels 15 miles per ton of coal when it carries no cargo. Whe  [#permalink]

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05 Aug 2019, 16:23
Bunuel wrote:
A train travels 15 miles per ton of coal when it carries no cargo. When the train is filled with cargo, it travels 80% as far on a ton of coal as it does when it has no cargo. If the train is filled with cargo, how many tons of coal will the train use to travel 160 miles?

A. 10 2/3
B. 12
C. 12 2/3
D. 13 1/3
E. 13 2/3

When the train is filled with cargo, the rate is 15 x 0.8 = 12 miles per ton of coal.

To travel 160 miles, the amount of coal needed is 160/12 = 80/6 = 40/3 = 13 1/3 tons.

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Re: A train travels 15 miles per ton of coal when it carries no cargo. Whe   [#permalink] 05 Aug 2019, 16:23