Maths-
General
Easy

Question

Neil and Yuki run a data entry service . Neil starts at 9 :00 Am and can type 45 words per minute. Yuki arrives at 10 :30 AM and can type 60 words per minute. Write and solve an inequality to find at what time yuki will have typed more words than neil. Let X represent the time in minutes.

hintHint:

Linear inequalities are expressions where any two values are compared by the inequality symbols<,>,≤&≥ .
We are asked to write and solve an inequality to find the time when Yuki would have typed more words than Neil.

The correct answer is: x>270


    Step 1 of 2:
    Let x be the number of minutes after 10.30 AM.
    The number of words Neil types is given in the expression form as:45x . But, he is ahead by 90 minutes. So, the final expression would be: 45 left parenthesis x plus 90 right parenthesis.
    The number of words Yuki types is given by;60 x
    We need to find the time when Yuki would have typed more words than Neil. Thus, we get the expression:
    60x>45(x+90)
    Step 2 of 2:
    Solve the inequality,
    n                            table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell 60 x greater than 45 left parenthesis x plus 90 right parenthesis end cell row cell 60 x greater than 45 x plus 4050 end cell row cell 60 x minus 45 x greater than 4050 end cell row cell 15 x greater than 4050 space space space space space space space space space space space space space end cell row cell x greater than 4050 over 15 space space space space space space space space space space space end cell row cell x greater than 270 space space space space space space space space space space space space space space space space end cell end table
    So, Yuki will have typed more words than Neil 270 minutes or 4 hours and 30 minutes after 10.30 AM.
     

    Whenever we use the inequality symbol < or> we do not include the end point.

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