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aivan3 [116]
3 years ago
14

The average speed of one airplane is 200 mph faster than that of an automobile. If the automobile starts at 3 a.m. and the airpl

ane starts from the same place at 11 a.m., they will have traveled the same number of miles by 1:00 p.m.
If r represents the rate of the automobile, how many miles does the plane travel?
Mathematics
1 answer:
Veronika [31]3 years ago
5 0
 <span>time for airplane = 11 am to 1 pm = 2 hr 
distance travelled by plane = 2a ------- (speed of plane is a mph) 

time for auto = 3 am to 1 pm = 10 hr 
distance travelled by plane = 10(a – 200) 

2a = 10(a – 200) 
8a = 2000 
a = 250 mph ----- plane 
and 250 – 200 = 50 mph ----- auto </span>
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It took sandy two hours to jog 13 miles. She ran 7 1/2 miles in one hour. How far did she run during the second hour
Zarrin [17]

Sandy ran 5 ½ during the second hour.

  • Total amount Sandy used to jog for 2 hours = 13 miles
  • Amount Sandy used to run in the 1st hour = 7 ½
<h2>Further Explanation</h2>

Therefore the amount Sandy used to run in the 2nd hour = Total amount Sandy used to jog for 2 hours – Amount Sandy used to run in the 1st hour

= 13 – 7 ½ (and can be expressed as 7 + ½)

= 13 – (7 + ½)

= 13 – 7 – ½

= 6 – ½ (otherwise expressed as 6/1 – 1/2)

= (6 x 2) – (1 x 1) / 2

= (12) – (1) / 2

= 12 – 1 / 2

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Hence, Sandy ran 5 ½ miles during the second hour.

Based on the above expression, it is observed that there is an element of fractions in the math problem. Also, BODMAS was clearly used to derive the solution to the given question.

Recall, 13 – (7 + ½). The mathematical signs, (–) and (+) were multiplied; one of mathematics rule states that – x + = –; thus 13 – 7 – ½

Notably, fractions deal with denominators and numerators; and in these questions, with the help of BODMAS, they (6/1 – 1/2) were used to factor each other out to derive the final answer 5 ½.

LEARN MORE:

  • Numbers: brainly.com/question/2906770
  • mixed numbers brainly.com/question/12853142
  • fraction brainly.com/question/6201432

KEYWORDS:

  • bodmas
  • fractions
  • mathematical sign
  • denominators
  • numerators
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