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Question P6 Number × value

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Two pipes — filling a tank together

Pipe A can fill a tank in 6 hours. Pipe B can fill the same tank in 4 hours. Both pipes are turned on at the same time. How long will it take to fill the tank?

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About this method

Number × value

One batch repeats. Work out one batch, then multiply.

In this one. You cannot add the times (6 h + 4 h means nothing here) — turn each time into a rate, how much of the tank is filled in one hour, because rates add and times do not.

4 batches, all the sameIn allwork out this one, then ×4

Also uses: Same time, same distance

How to spot it

Items are described as a fixed group or ratio that repeats, such as tiles following a pattern, snacks sold in a fixed mix, or a rate given per hour or per item.

Common mistake

Children start from the grand total instead of first working out what one batch is worth. In rate questions they also confuse a duration with a clock time.

Practise a similar question

Standard A bakery sells buns and muffins in the ratio of 3 buns to 5 muffins. Each bun costs $2, and each muffin costs $1. If the total value of all buns and muffins is $55, how many buns and muffins are there altogether?
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