Tess is a hairdresser. Before her lunch break, she gave 1 haircut and colored the hair of 1 client in 72 minutes. After lunch, she colored the hair of 1 client in 55 minutes. How long does it take for Tess to perform each type of service, assuming the amount of time doesn't vary from client to client?

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Let hair cut be X and hair colouration be Y , using the question
X+Y = 72
"colored the hair of 1 client in 55 minutes" , 1Y
Y = 55X = 72-55 = 17
Tess takes 17mins to perform a haircut and 55 minutes to colour a hair.
To color the hair of one client takes 55 minutes
To give a client a haircut takes 72-55 which is 17