Question

Please help me solve this I need a step by step solution that isn't too complicated, and I need to find an inequality that is written and the solved. Here's the question:

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

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 x45×90+45×x<90×x

Solving above inequality would give

x > 90x>90

it means that 90 minutes after 10:30 AM

Yuki would type more than Neil.