Which rate is the greatest 800 miles per 16 hours 1500 miles per 50 hours 600 miles per 15 hours or 900 miles per 20 hours?

1 Answer

Answer :

Convert them all to the same per x hours and then compare them.You can either convert them all to unit rates (x = 1) or some otherrate (eg lcm of 16, 50, 15 and 20).I'll use unit rates:800 miles per 16 hours = 800 ÷ 16 miles per 16 × 16 hours = 50mph1500 miles per 50 hours = 1500 ÷ 50 miles per 50 ÷ 50 hours = 30mph600 miles per 15 hours = 600 ÷ 15 miles per 15 ÷ 15 hours = 40mph900 miles per 20 hours = 900 ÷ 20 miles per 20 ÷ 20 hours = 45mph50 mph is the greatest unit rate→ 800 miles per 16 hours is the greatest rate.---------------The rates can be ordered:50 > 45 > 40 > 30→ 800 miles per 16 hours > 900 miles per 20 hours > 600miles per 15 hours > 1500 miles per 50 hours.

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