Formulate the following problems as a pair of equations, and hence find their solutions: (i) Rit...
Formulate the following problems as a pair of equations, and hence find their solutions:
(i) Ritu can row downstream \( 20 \mathrm{~km} \) in 2 hours, and upstream \( 4 \mathrm{~km} \) in 2 hours. Find her speed of rowing in still water and the speed of the current.
(ii) 2 women and 5 men can together finish an embroidery work in 4 days, while 3 women and 6 men can finish it in 3 days. Find the time taken by 1 woman alone to finish the work, and also that taken by 1 man alone.
(iii) Roohi travels \( 300 \mathrm{~km} \) to her home partly by train and partly by bus. She takes 4 hours if she travels \( 60 \mathrm{~km} \) by train and the remaining by bus. If she travels \( 100 \mathrm{~km} \) by train and the remaining by bus, she takes 10 minutes longer. Find the speed of the train and the bus separately.
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