If 6 oil tankers can be filled by a pipe in 412 hours- how long does the pipe take to fill 4 such oil tankers-

Time taken by the pipe to fill 6 oil tankers = 4 1/2 = 9/2 hours Time taken to fill 1 oil tanker = nbsp; 92 #215;16 #160;= #160;34hours Therefore, the p ...

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Standard VII

Mathematics

Multiplication of Fractions

If 6 oil tank...

Question

If 6 oil tankers can be filled by a pipe in $4 \frac{1}{2}$ hours, how long does the pipe take to fill 4 such oil tankers?

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Solution

Time taken by the pipe to fill 6 oil tankers = $4 \frac{1}{2} = \frac{9}{2}$ hours
Time taken to fill 1 oil tanker = $\frac{9}{2} \times \frac{1}{6} = \frac{3}{4}$ hours
Therefore, the pipe will be able to fill 4 oil tankers in $\frac{3}{4} \times 4 = 3$ hours.

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If 6 oil tankers can be filled by a pipe in 412 hours, how long does the pipe take to fill 4 such oil tankers?

Time taken by the pipe to fill 6 oil tankers = 412=92 hoursTime taken to fill 1 oil tanker = 92×16=34hoursTherefore, the pipe will be able to fill 4 oil tankers in 34×4=3 hours.

If 6 oil tankers can be filled by a pipe in $4 \frac{1}{2}$ hours, how long does the pipe take to fill 4 such oil tankers?

Time taken by the pipe to fill 6 oil tankers = $4 \frac{1}{2} = \frac{9}{2}$ hours
Time taken to fill 1 oil tanker = $\frac{9}{2} \times \frac{1}{6} = \frac{3}{4}$ hours
Therefore, the pipe will be able to fill 4 oil tankers in $\frac{3}{4} \times 4 = 3$ hours.