Question

I made 2 calls and was on the phone for a total of 46 minutes. One call  was 10 mins. longer than the other. How long was each call?​

Answer 1

The duration of the calls is:

• 18 minutes.
• 28 minutes.

Explanation:

We can assume that the second call was longer than the first (10 minutes how says in the exercise), then we replace the duration of the calls how is shown below:

• Duration of the first call = X
• Duration of the second call = Y

With the information given in the paragraph we can do the next formulas:

1. X + Y = 46
2. Y = X + 10 (Because the second call was 10 minutes longer)

We replace the second formula in the first:

• X + (X + 10) = 46

And we operate:

• 2X + 10 = 46
• 2X = 46 - 10
• 2X = 36
• X = 36/10
• X = 18

How the second call was 10 minutes longer than the first, we just add 10 to X and we'll find Y:

• Y = X + 10
• Y = 18 + 10
• Y = 28

And how 18 + 28 = 46, we can be sure that they are the times of the calls.