SAT · Math

Ratios, rates and proportions

12 practice questions, each with the answer and an explanation.

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Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 12 questions

Two numbers are in the ratio $5 : 6$ and their sum is $77$ . What is the first number in the ratio?
Two numbers are in the ratio $3 : 7$ and their sum is $60$ . What is the first number in the ratio?
Two numbers are in the ratio $4 : 3$ and their sum is $21$ . What is the second number in the ratio?
Two numbers are in the ratio $2 : 7$ and their sum is $36$ . What is the first number in the ratio?
Two numbers are in the ratio $5 : 3$ and their sum is $56$ . What is the first number in the ratio?
Two numbers are in the ratio $5 : 7$ and their sum is $108$ . What is the second number in the ratio?
A car travels at a constant speed of $72$ miles per hour. How many miles does it travel in $2$ hours?
A car travels at a constant speed of $45$ miles per hour. How many miles does it travel in $5$ hours?
A car travels at a constant speed of $45$ miles per hour. How many miles does it travel in $2$ hours?
Pump A can fill an empty tank in 6 hours and pump B can fill it in 9 hours. A drain can empty a full tank in 18 hours. If both pumps and the drain all run together, how many hours does it take to fill…
The ratio of $a$ to $b$ is $3 : 4$ , and the ratio of $b$ to $c$ is $6 : 5$ . If $a + b + c = 93$ , what is the value of $c$ ?
A car travels at a constant speed of $72$ miles per hour. How many miles does it travel in $3$ hours?

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