Word Problems on Operations on Rational Numbers

Q.

A car runs $16$km using $1$ litre of petrol. How much distance will it cover using $2¾$litres of petrol.

Q.

A farmer needs to plow a $6acre$ field.

She starts by plowing $\frac{1}{4}$ of the field.

How many acres does the farmer plow?

Q. $\frac{1}{3}$ part of an apple was given to each of the five students in a class . How many apples were there in the class if the teacher had $4$ apples$?$

1. $\frac{12}{3}$
2. $\frac{17}{3}$
3. $\frac{7}{3}$
4. $\frac{28}{3}$

Q. The area of a room is $\frac{21}{4}{m}^2$. If its breadth is $\frac{42}{3}$ m, what is its length?

1. $\frac{3}{8}m$
2. $\frac{8}{3}m$
3. $\frac{294}{4}m$
4. $\frac{4}{294}m$

Q. Eric eats oatmeal at a constant rate of $\frac{2}{5}\text{oz per minute}$. Rosalyn reaches Eric’s place $30$ minutes after he starts eating oatmeal. How much oatmeal did he consumed by then?

1. $12oz$
2. $6oz$
3. $24oz$
4. $3oz$

Q. Alex can eat $\frac{1}{4}$ of a pie in $1$ hour. Max can finish $\frac{1}{2}$ of it at the same time, who will finish eating the whole pie first?

Q. Eric loves Ed’s oatmeal for breakfast. He eats it at a constant rate of $\frac{2}{5}ozperminute.$ If he has eaten $8oz$ of oatmeal, how many hour(s) ago did he start eating?

1. $\frac{1}{2}$
2. $\frac{1}{3}$
3. $\frac{1}{4}$
4. $\frac{1}{5}$

Q.

If Sara has to bake a full cake, she uses $\frac{3}{5}$ of the total quantity of flour that she has. How much part of the total quantity of flour will she need to bake $\frac{1}{6}$ part of a cake?

1. $\frac{18}{5}$
2. $\frac{1}{30}$
3. $\frac{1}{10}$
4. $\frac{5}{18}$

Q. A person will eat 50 donuts in 25 minutes. What is rate of eating of donuts by that person?

1. 3 donuts/min
2. 2 donuts/min
3. 4 donuts/min
4. 5 donuts/min

Q. Two pieces of rope with lengths of $\frac{13}{5}m$ and $\frac{33}{10}m$ are cut from an 11 m long rope. Which among the following options is true?

1. The length of the cut off rope is $51/10m.$
2. The length of the cut off rope is $58/10m.$
3. The length of the remaining rope is $51/10m.$
4. The length of the remaining rope is $59/10m.$