A reservation clerk worked 15.3 hours one day. She spent twice as much time entering new reservations as she did verifying old ones and one and a half as much time calling to confirm reservations as verifying old ones. How much time did she spend entering new reservations?

Let V = verifying old reservations

V + 2V + 1.5V = 15.3

4.5V = 15.3

V = 15.3/4.5
V = 3.4

Checking --

3.4 + (2*3.4) + (1.5*3.4)
3.4 + 6.8 + 5.1 = 15.3