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## [Smart Math] Ratio Proportion Problem 59

Here’s and example of a SMART MATH problem for RATIO PROPORTION. ### Problem

R can do a piece of work in 20 days and K in 25 days. They work together for 5 days and then K leaves. In how many days would R finish the work?

1. 5
2. 9
3. 10
4. 11
5. 12
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## [Smart Math] Ratio Proportion Problem 58

Here’s and example of a SMART MATH problem for RATIO PROPORTION. ### Problem

A fort has a provision for 900 men for 40 days. After 20 days, 300 men join them. For how many days more will the provision last for?

1. 5 days
2. 10 days
3. 15 days
4. 20 days
5. 25 days
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## [Smart Math] Ratio Proportion Problem 57

Here’s and example of a SMART MATH problem for RATIO PROPORTION. ### Problem

An officer divided his 35 hour work week as follows: $\frac{1}{5}$ of his time was spent in sending mails $\frac{1}{2}$ of his time in filing letters $\frac{1}{7}$ of his time in reception work

The rest of his time is spent in messenger work.

What is the percent time spent on messenger work?

1. 6%
2. 10%
3. 12%
4. 16%
5. 21%
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## [Smart Math] Ratio Proportion Problem 56

Here’s and example of a SMART MATH problem for RATIO PROPORTION. ### Problem

Three types of tea each worth $6.00 / lb,$7.50 / lb and $x / lb are mixed in proportion of 1 : 2 : 3 to form a mixture worth$8.50 / lb. What is the value of x in \$ / lb?

1. 7.00
2. 7.50
3. 8.00
4. 8.50
5. 10.00
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## [Smart Math] Ratio Proportion Problem 55

Here’s and example of a SMART MATH problem for RATIO PROPORTION. ### Problem

What is two fifth of one tenth of three eight of nine eleventh?

1. $\frac{27}{2100}$
2. $\frac{26}{2200}$
3. 1
4. $\frac{54}{4400}$
5. $\frac{11}{2100}$
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## [Smart Math] Ratio Proportion Problem 54

Here’s and example of a SMART MATH problem for RATIO PROPORTION. ### Problem

In equal amounts of time three professors are able to solve problems in the ratio of 1.5 : 2.5 : 3.5. If the professor with the least capability can solve 6 problems in 2 hours, how many problems will the professor with highest ability solve in 3 hours? Assume that they solve problems with uniform speed.

1. 9
2. 10
3. 15
4. 21
5. 24
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## [Smart Math] Ratio Proportion Problem 53

Here’s and example of a SMART MATH problem for RATIO PROPORTION. ### Problem

Three men or six women do a piece of work in 20 days. In how many days can 12 men and 8 women do the same piece of work?

1. $1\frac{3}{4}$days
2. $2\frac{1}{2}$days
3. $3\frac{3}{4}$days
4. $4\frac{1}{4}$days
5. $5\frac{1}{2}$days
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## [Smart Math] Ratio Proportion Problem 52

Here’s and example of a SMART MATH problem for RATIO PROPORTION. ### Problem

A tank normally filled in 8 hours takes 2 hours longer owing to a leak. If the tank is full the leak shall empty in _________ hours?

1. 16
2. 20
3. 25
4. 40
5. 45
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## [Smart Math] Ratio Proportion Problem 51

Here’s and example of a SMART MATH problem for RATIO PROPORTION. ### Problem

A tap can fill a tank in 3 hours and another tap in 2 hours. An outlet can drain the tank completely in 4 hours. If all three are kept open, how long would it take to fill the tank completely?

1. 2 hours
2. 3 hours
3. 4 hours
4. The tank will never be full.
5. None of these.
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## [Smart Math] Ratio Proportion Problem 50

Here’s and example of a SMART MATH problem for RATIO PROPORTION. ### Problem

Two vessels contain spirit and water mixed in the ratio 5 : 3 and 3 : 1 respectively. In what ratio should they be mixed together to get the ratio of spirit and water in the final mixture as 2 : 1?

1. 1 : 2
2. 5 : 4
3. 4 : 5
4. 2 : 1
5. 3 :1