An algebra problem by Hammad Shah

Algebra Level 1

A car travels 44 km on 5 litres of petrol. How far would it travel with 48 litres of petrol?

422.4 km 360 km 600 km 530 km

Hammad Shah by Hammad Shah , 25, Pakistan

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3 solutions

To find the answer, simply find how many kilometres it traveled with 1 litre of petrol. (The answer below is totally mental calculation, because I learned tricks to square a number).

44 5 × 48 \frac{44}{5} \times 48 = ( 46 − 2 ) ( 46 + 2 ) 5 =\frac{(46-2)(46+2)}{5} = 4 6 2 − 2 2 5 =\frac{46^2-2^2}{5} = 2112 5 = 422.4 =\frac{2112}{5}=\boxed{422.4}

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Since 5 ∤ 44 5\not{|} \ 44 , the answer must not be an integer and the only non- integer answer in the options is 422.4 422.4 . As simple as that :)

Nihar Mahajan - 5 years, 9 months ago

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But to be fair...

Adam Phúc Nguyễn - 5 years, 9 months ago

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I am not talking about your solution. I am talking about the poor setting of choices.

Nihar Mahajan - 5 years, 9 months ago
Sunil Pradhan
Sep 23, 2015

The answer is 44 × 48/5 instead of calculating,

the answer is not an integer so only 422.4 km

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Azadali Jivani
Sep 13, 2015

(44 * 48/5)/5 = 422.4 km(Ans.)

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