At a music school, each long session lasts twenty minutes longer than the short session. if 3 long sessions and 4 short sessions last a total of 270 minutes, how many minutes does a long session last?

Time taken by long session is 50 minutes

Given that;

Total time taken for all session = 270 minutes

Number of long session = 3

Number of short session = 4

Assume;

Time taken by short session = a

Time taken by long session = a + 20

So,

3[a + 20] + 4[a] = 270

3a + 60 + 4a = 270

7a + 60 = 270

7a = 210

a = 30 minutes

Time taken by long session = a + 20

Time taken by long session = 30 + 20

Time taken by long session = 50 minutes

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