Question

the time spent in line to enter a concert varies inversely to the number of gates open. if just 3 gates are open, the wait time is about 50 minutes. find the wait time if there are 8 gates open.

Answer 1

100/3 min

Explanation:

Wait time for 3 gates = 50 min

Wait time for 1 gate = 50/3 min

Wait time for 8 gates = 50/3 × 8

=> 25/3 × 4

=> 100/3 min

Answer 2

• 18.75 min or 18 min 45 sec

Explanation:

Inverse variation equation:

• y = k / x

We have:

• y = 50 when x = 3

Find the value of k:

• 50 = k / 3
• k = 50*3
• k = 150

The equation becomes:

• y = 150 / x

Find the value of y, when x = 8:

• y = 150/8
• y = 18.75 minutes or 18 min 60*0.75 sec = 18 min 45 sec