Rates and Work (Easy)

AMC 10 Q1–8 depth — contest entry, not school drills.

Rates and Work: core idea

d=rt

A car travels $60$ miles in $2$ hours. Find its speed.

Hint: Write rate $=$ amount divided by time. Answer: 30.

1. At $5$ dollars each, what is the cost of $7$ notebooks?
2. A faucet fills $12$ gallons in $3$ minutes. Find its rate in gallons per minute.
3. A runner goes $10$ miles at $5$ mph. Find the time in hours.
4. A $20$ item is discounted $25\%$ . Find the sale price.
5. A recipe for $4$ uses $3$ cups of flour. How many cups for $8$ ?
6. A train travels at $50$ mph for $3$ hours. Find the distance.
7. A worker earns $12$ per hour for $5$ hours. Find the pay.
8. A tank has $30$ liters and drains $5$ liters per minute. Find the time to empty.
9. A $40$ price rises by $10\%$ . Find the new price.