# Sarin’s family and Ramadan Part 1 (Math Question)

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The blog postings are about the Singapore Math. The readers can learn from the postings about Solving Singapore Primary School Mathematics. The blog presenting the Math Concept, Math Questions with solutions that teaches in Singapore Primary Schools. You or the kids can learn deal with Math Modeling, Problem Sum from Lower Primary School to Upper Primary School level. This posting is an upper primary school math question on speed.

You can read the posting on Sarin’s family and Ramadan in Welcome page about story of Sarin’s family during Ramadan.

Also to read the posting on Sarin learns rate of change in school (Math Concept) to learn about concept of speed.

Upper primary school mathematics question UPQ229

Fatimah and mother are cleaning up their room during Ramadan. Fatimah can clean 1/6 of a room in 2 hours. Her mother can clean 1/3 of the same room in 1/2 an hour. If the two of them work together, how long will they take to clean the room?

Solution:

Fatimah and mother clean the room together

The speed of work done will base on the combine work speed of the two.

The speed of work for Fatimah = 1/6 ÷ 2 = 1/12 room per hour

The speed of work for her mother = 1/3 ÷ ½ = 2/3 room per hour

The combine speed of work = 1/12 + 2/3 = 9/12 = ¾ room per hour

They need 1 1/3 h to clean up the room