Question

Neil and Yuki run a data entry service. Neil starts at 9:00 A.M. and can type 45 words per minute. Yuki arrives at 10:30 A.M. 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.

Answer 1

Neil started 90 minutes earlier than Yuki So
at 10 : 30 AM Neil would have typed 45 times 90. After x minutes he would have typed 45*90+45*x and Yuki would have typed 60*x.
Words typed by Yuki > Words typed by Neil
$45 \times 90 + 45 \times x < 90 \times x$
Solving above inequality would give
$x > 90$
it means that 90 minutes after 10:30 AM
Yuki would type more than Neil.

Answer 2

Answer:

Step-by-step explanation:

45(x+90) < 60x

45x+4050 < 60x

4050 < 15x

270 < x