QUESTION $3$

Use the information below to answer questions $3$ through $10.$

The cadet laundry service at USAFA is outsourced to a company based near Woodmen & Powers in Colorado Springs. The company makes three trips each week between the laundry facility and USAFA, but the road conditions can have a fairly significant impact on travel time. The driver will take one of three routes to get to USAFA each day: via Woodmen Rd & Academy Blvd$,$ Interquest Pkwy & I$-25$ or Powers Blvd & North Gate Blvd$.$ If road conditions are good, North Gate tends to be the fastest route; if they are bad, one of the other routes is usually better. Over the past $6$ months the company has collected data on the average time $($in minutes$)$ it takes using each route and has summarized the findings as follows:

Route

Road Conditions

Travel Time

Woodmen & Academy

Clear

$40$

Wet

$45$

Snowy

$50$

Icy

$60$

Interquest & I$-25$

Clear

$40$

Wet

$45$

Snowy

$45$

Icy

$75$

Powers & North Gate

Clear

$35$

Wet

$55$

Snowy

$60$

Icy

$70$

Over the course of the year, road conditions have historically been clear $50\%$ of the time, wet $10\%$ of the time, snow$-$packed $25\%$ of the time, and icy $15\%$ of the time.

What is the expected value $($in travel time$)$ if you choose to take Interquest & I$-25?$ Round to $1$ decimal, and do NOT include any units.